Astroland Amicable Cards
"Amicable Numbers" is a term from number theory that I thought had a cute (though useless) application with my card collection.Mathematicians call a number "perfect" if its factors (excluding itself) add up to that number. For example, 6 is perfect, because its non-identical factors (they call these "proper divisors") are 1, 2, and 3, which add up to 6. The perfect number is self-referential, sort of like (heh-heh) jersey-numbered cards are. "Amicable numbers" are the next best thing. These are pairs of numbers whose proper divisors don't add up to themselves, but they add up each other. The smallest amicable numbers are 220 and 284. I won't list 'em, but 220's proper divisors add up to 284, and 284's proper divisors add up to 220. I figured that was sort of like that pair of 2004 Leaf Certified Cuts Mirror Blues I noticed I had. The Roy Oswalt card was number 7 of 44, and the Craig Biggio was number 44 of 50. Like amicable numbers, they referenced each other. Hell, did I have any other cards like that? I wrote a little script that let me find out, and turns out I did. I know no-one on ebay or anywhere else in the hobby I'm sure would assign extra value to these cards because of it. No-one I'm sure really cares about this, except hello to any mathematicians who collect baseball cards, but it is a curiosity, and I couldn't help myself. |
| PLAYER ONE | CARD ONE | CARD TWO | PLAYER TWO |
|---|---|---|---|
| JEFF BAGWELL (who wore # 5 with the Astros) | 2004 Fleer Patchworks National Patchtime # NP/JB (17/350) | 2007 Fleer Ultra Dual Materials # DM-LB (5/160) | LANCE BERKMAN (who wore # 17 with the Astros) |
| 2005 Leaf Century Collection Material Fabric Position # 67 (7/250) | 2006 Upper Deck Special F/X Purple # 872 (5/150) Checklist | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2002 Leaf Certified Mirror Gold # 86 (22/25) Patch | 2005 Donruss Throwback Threads Polo Grounds Ball Bunt to Pitcher # PG-2 (5/25) | Roger Clemens (who wore # 22 with the Astros) | |
| 2005 Donruss Studio Proof Silver # 134 (14/100) | 2004 Donruss Leather & Lumber Lumber & Leather # LUL37 (5/10) Bat Spikes | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| 2003 Leaf Limited TNT Prime # 146 (15/25) | 2004 Leaf Certified Materials Mirror Blue Materials Fabric # 159 (5/100) Pants | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2005 Leaf Certified Materials Mirror Blue Materials Bat # 63 (52/100) | 2003 Topps Chrome Xfractor # 90 (5/50) | WADE MILLER (who wore # 52 with the Astros) | |
| 1999 Upper Deck 10th Anniversary Team Double # X24 (44/4000) | 2009 Bowman Chrome Gold Refractor # 182 (5/50) | ROY OSWALT (who wore # 44 with the Astros) | |
| 2006 Topps Chrome Red Refractor # 88 (21/90) | 2005 Donruss Season Stat Line # 200 (5/79) | Andy Pettitte (who wore # 21 with the Astros) | |
| 2002 Donruss Originals Nifty Fifty Jersey # NF-18 (34/50) | 2003 Leaf Certified Materials Mirror Emerald Auto # 72 (5/5) | NOLAN RYAN (who wore # 34 with the Astros) | |
| 2005 Leaf Certified Materials Mirror Gold Materials Fabric # 63 (4/25) | 2014 Topps Chrome Rookie Autograph Red Refractor # GS (5/25) | GEORGE SPRINGER (who wore # 4 with the Astros) | |
| LANCE BERKMAN (who wore # 17 with the Astros) | 2007 Fleer Ultra Dual Materials # DM-LB (5/160) | 2004 Fleer Patchworks National Patchtime # NP/JB (17/350) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2005 Topps Finest Black Refractor # 115 (7/99) | 2005 Leaf Certified Materials Mirror Gold # 28 (17/25) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2005 Donruss Team Heroes Showdown Bronze # 140 (14/100) | 2005 Playoff Absolute Memorabilia Tools of the Trade Reverse Spectrum Red # TT-157 (17/50) | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| 2004 Leaf Certified Materials Mirror Blue Auto # 120 (16/25) | 2003 Playoff Absolute Memorabilia Spectrum # 31 (17/100) | JASON LANE (who wore # 16 with the Astros) | |
| 2007 Topps Chrome Red Refractor # 249 (45/99) | 2009 Topps Chrome World Baseball Classic Red Refractor # W17 (17/25) | CARLOS LEE (who wore # 45 with the Astros) | |
| 2009 Bowman Blue # 143 (52/500) | 2004 Leaf Certified Cuts Marble Gold # 92 (17/25) | WADE MILLER (who wore # 52 with the Astros) | |
| 2005 Bowman Chrome Gold Refractor # 89 (44/50) | 2005 Donruss Studio Spirit of the Game Combo # SOG-10 (17/50) | ROY OSWALT (who wore # 44 with the Astros) | |
| CRAIG BIGGIO (who wore # 7 with the Astros) | 2006 Upper Deck Special F/X Purple # 872 (5/150) Checklist | 2005 Leaf Century Collection Material Fabric Position # 67 (7/250) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2005 Leaf Certified Materials Mirror Gold # 28 (17/25) | 2005 Topps Finest Black Refractor # 115 (7/99) | LANCE BERKMAN (who wore # 17 with the Astros) | |
| 2004 Donruss Diamond Kings DK Materials Framed Bronze # 125 (14/25) | 2002 Donruss Elite Status # 198 (7/86) | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| 2007 Upper Deck SPx Winning Materials Dual Green # WM-CB (15/15) | 2003 Playoff Portraits Materials Combo Silver # 101 (7/25) Bat Pants | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2005 Leaf Limited Silver Spotlight # 85 (16/50) | 2003 Donruss Elite Gold Status # 116 (7/24) | JASON LANE (who wore # 16 with the Astros) | |
| 2006 Upper Deck Special F/X Green # 209 (44/99) | 2009 Topps Chrome Gold Refractor # 33 (7/50) | ROY OSWALT (who wore # 44 with the Astros) | |
| 2004 Donruss Elite Aspirations # 105 (21/93) | 2008 Topps Moments & Milestones Blue # 112 - 157/200 Wins (7/10) | Andy Pettitte (who wore # 21 with the Astros) | |
| 2005 Fleer Showcase Showtime # 61 (37/99) | 2003 Fleer Tradition Glossy # 317 (7/100) | SHANE REYNOLDS (who wore # 37 with the Astros) | |
| 2007 Upper Deck SPx Winning Materials Gold # WM-CB (4/199) | 2014 Topps Update Black # US-210 (7/63) Rookie Debut | GEORGE SPRINGER (who wore # 4 with the Astros) | |
| Roger Clemens (who wore # 22 with the Astros) | 2005 Donruss Throwback Threads Polo Grounds Ball Bunt to Pitcher # PG-2 (5/25) | 2002 Leaf Certified Mirror Gold # 86 (22/25) Patch | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2005 Donruss Zenith Epix Season Purple # E-12 (1/150) | 2014 Panini Prizm Next Era Purple # 6 (22/99) | CARLOS CORREA (who wore # 1 with the Astros) | |
| 2005 Leaf Sportscasters Teal Leaping Bat # 42 (15/20) | 2001 Fleer Ultra Platinum Medallion # 17P (22/50) | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2007 Topps Moments & Milestones # 162 - 31/218 Strikeouts (45/150) | 2009 Topps Chrome Red Refractor # 122 (22/25) | CARLOS LEE (who wore # 45 with the Astros) | |
| CARLOS CORREA (who wore # 1 with the Astros) | 2014 Panini Prizm Next Era Purple # 6 (22/99) | 2005 Donruss Zenith Epix Season Purple # E-12 (1/150) | Roger Clemens (who wore # 22 with the Astros) |
| MORGAN ENSBERG (who wore # 14 with the Astros) | 2004 Donruss Leather & Lumber Lumber & Leather # LUL37 (5/10) Bat Spikes | 2005 Donruss Studio Proof Silver # 134 (14/100) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2005 Playoff Absolute Memorabilia Tools of the Trade Reverse Spectrum Red # TT-157 (17/50) | 2005 Donruss Team Heroes Showdown Bronze # 140 (14/100) | LANCE BERKMAN (who wore # 17 with the Astros) | |
| 2002 Donruss Elite Status # 198 (7/86) | 2004 Donruss Diamond Kings DK Materials Framed Bronze # 125 (14/25) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2002 Leaf Certified Mirror Blue # 171 (15/75) New Generation Bat | 2003 Leaf Certified Materials Mirror Gold # 74 (14/25) | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2002 Topps Chrome Traded Black Refractor # T28 (45/100) | 2008 Upper Deck Heroes Jersey Emerald # 75 (14/25) | CARLOS LEE (who wore # 45 with the Astros) | |
| 2006 Upper Deck Special F/X Green # 215 (44/99) | 2009 Bowman Chrome Blue Refractor # 182 (14/150) | ROY OSWALT (who wore # 44 with the Astros) | |
| RICHARD HIDALGO (who wore # 15 with the Astros) | 2004 Leaf Certified Materials Mirror Blue Materials Fabric # 159 (5/100) Pants | 2003 Leaf Limited TNT Prime # 146 (15/25) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2003 Playoff Portraits Materials Combo Silver # 101 (7/25) Bat Pants | 2007 Upper Deck SPx Winning Materials Dual Green # WM-CB (15/15) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2001 Fleer Ultra Platinum Medallion # 17P (22/50) | 2005 Leaf Sportscasters Teal Leaping Bat # 42 (15/20) | Roger Clemens (who wore # 22 with the Astros) | |
| 2003 Leaf Certified Materials Mirror Gold # 74 (14/25) | 2002 Leaf Certified Mirror Blue # 171 (15/75) New Generation Bat | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| 2004 Leaf Certified Materials Mirror Gold Materials Bat # 159 (16/25) | 2004 Donruss Diamond Kings DK Materials Framed Bronze # 71 (15/25) Bat Hat | JASON LANE (who wore # 16 with the Astros) | |
| 2004 Leaf Certified Materials Mirror White # 159 (37/100) | 1999 Bowman Chrome Gold Refractor # 70 (15/25) | SHANE REYNOLDS (who wore # 37 with the Astros) | |
| 2004 Leaf Certified Materials Mirror Emerald Materials Bat # 159 (4/5) | 2014 Topps Update Pink # US-210 (15/50) Rookie Debut | GEORGE SPRINGER (who wore # 4 with the Astros) | |
| PLAYER ONE | CARD ONE | CARD TWO | PLAYER TWO |
| JASON LANE (who wore # 16 with the Astros) | 2003 Playoff Absolute Memorabilia Spectrum # 31 (17/100) | 2004 Leaf Certified Materials Mirror Blue Auto # 120 (16/25) | LANCE BERKMAN (who wore # 17 with the Astros) |
| 2003 Donruss Elite Gold Status # 116 (7/24) | 2005 Leaf Limited Silver Spotlight # 85 (16/50) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2004 Donruss Diamond Kings DK Materials Framed Bronze # 71 (15/25) Bat Hat | 2004 Leaf Certified Materials Mirror Gold Materials Bat # 159 (16/25) | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| CARLOS LEE (who wore # 45 with the Astros) | 2009 Topps Chrome World Baseball Classic Red Refractor # W17 (17/25) | 2007 Topps Chrome Red Refractor # 249 (45/99) | LANCE BERKMAN (who wore # 17 with the Astros) |
| 2009 Topps Chrome Red Refractor # 122 (22/25) | 2007 Topps Moments & Milestones # 162 - 31/218 Strikeouts (45/150) | Roger Clemens (who wore # 22 with the Astros) | |
| 2008 Upper Deck Heroes Jersey Emerald # 75 (14/25) | 2002 Topps Chrome Traded Black Refractor # T28 (45/100) | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| WADE MILLER (who wore # 52 with the Astros) | 2003 Topps Chrome Xfractor # 90 (5/50) | 2005 Leaf Certified Materials Mirror Blue Materials Bat # 63 (52/100) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2004 Leaf Certified Cuts Marble Gold # 92 (17/25) | 2009 Bowman Blue # 143 (52/500) | LANCE BERKMAN (who wore # 17 with the Astros) | |
| 2004 Topps Black # 466 (37/53) | 2000 Pacific Copper # 198 (52/99) | SHANE REYNOLDS (who wore # 37 with the Astros) | |
| ROY OSWALT (who wore # 44 with the Astros) | 2009 Bowman Chrome Gold Refractor # 182 (5/50) | 1999 Upper Deck 10th Anniversary Team Double # X24 (44/4000) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2005 Donruss Studio Spirit of the Game Combo # SOG-10 (17/50) | 2005 Bowman Chrome Gold Refractor # 89 (44/50) | LANCE BERKMAN (who wore # 17 with the Astros) | |
| 2009 Topps Chrome Gold Refractor # 33 (7/50) | 2006 Upper Deck Special F/X Green # 209 (44/99) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2009 Bowman Chrome Blue Refractor # 182 (14/150) | 2006 Upper Deck Special F/X Green # 215 (44/99) | MORGAN ENSBERG (who wore # 14 with the Astros) | |
| 2010 Topps National Chicle Chrome Blue Refractor # CC29 (21/199) | 2006 Upper Deck Special F/X Red # 203 (44/50) | Andy Pettitte (who wore # 21 with the Astros) | |
| Andy Pettitte (who wore # 21 with the Astros) | 2005 Donruss Season Stat Line # 200 (5/79) | 2006 Topps Chrome Red Refractor # 88 (21/90) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2008 Topps Moments & Milestones Blue # 112 - 157/200 Wins (7/10) | 2004 Donruss Elite Aspirations # 105 (21/93) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2006 Upper Deck Special F/X Red # 203 (44/50) | 2010 Topps National Chicle Chrome Blue Refractor # CC29 (21/199) | ROY OSWALT (who wore # 44 with the Astros) | |
| 2005 Topps Chrome Red Xfractor # 187 (4/25) | 2014 Topps Chrome Rookie Autograph Silver Ink Black Refractor # GS (21/25) | GEORGE SPRINGER (who wore # 4 with the Astros) | |
| 2008 Topps Moments & Milestones Black # 112 - 185/200 Wins (1/25) | 2006 Bowman Chrome Xfractor # 160 (21/250) | Willy Taveras (who wore # 1 with the Astros) | |
| SHANE REYNOLDS (who wore # 37 with the Astros) | 2003 Fleer Tradition Glossy # 317 (7/100) | 2005 Fleer Showcase Showtime # 61 (37/99) | CRAIG BIGGIO (who wore # 7 with the Astros) |
| 1999 Bowman Chrome Gold Refractor # 70 (15/25) | 2004 Leaf Certified Materials Mirror White # 159 (37/100) | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2000 Pacific Copper # 198 (52/99) | 2004 Topps Black # 466 (37/53) | WADE MILLER (who wore # 52 with the Astros) | |
| NOLAN RYAN (who wore # 34 with the Astros) | 2003 Leaf Certified Materials Mirror Emerald Auto # 72 (5/5) | 2002 Donruss Originals Nifty Fifty Jersey # NF-18 (34/50) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2003 Leaf Certified Materials Mirror Gold # 72 (4/25) | 2014 Topps Chrome Rookie Autograph Gold Refractor # GS (34/50) | GEORGE SPRINGER (who wore # 4 with the Astros) | |
| GEORGE SPRINGER (who wore # 4 with the Astros) | 2014 Topps Chrome Rookie Autograph Red Refractor # GS (5/25) | 2005 Leaf Certified Materials Mirror Gold Materials Fabric # 63 (4/25) | JEFF BAGWELL (who wore # 5 with the Astros) |
| 2014 Topps Update Black # US-210 (7/63) Rookie Debut | 2007 Upper Deck SPx Winning Materials Gold # WM-CB (4/199) | CRAIG BIGGIO (who wore # 7 with the Astros) | |
| 2014 Topps Update Pink # US-210 (15/50) Rookie Debut | 2004 Leaf Certified Materials Mirror Emerald Materials Bat # 159 (4/5) | RICHARD HIDALGO (who wore # 15 with the Astros) | |
| 2014 Topps Chrome Rookie Autograph Silver Ink Black Refractor # GS (21/25) | 2005 Topps Chrome Red Xfractor # 187 (4/25) | Andy Pettitte (who wore # 21 with the Astros) | |
| 2014 Topps Chrome Rookie Autograph Gold Refractor # GS (34/50) | 2003 Leaf Certified Materials Mirror Gold # 72 (4/25) | NOLAN RYAN (who wore # 34 with the Astros) | |
| 2014 Topps Chrome Black Refractor # 138 (1/100) | 2005 Topps Chrome Updates & Highlights Red Xfractor # UH82 (4/65) | Willy Taveras (who wore # 1 with the Astros) | |
| Willy Taveras (who wore # 1 with the Astros) | 2006 Bowman Chrome Xfractor # 160 (21/250) | 2008 Topps Moments & Milestones Black # 112 - 185/200 Wins (1/25) | Andy Pettitte (who wore # 21 with the Astros) |
| 2005 Topps Chrome Updates & Highlights Red Xfractor # UH82 (4/65) | 2014 Topps Chrome Black Refractor # 138 (1/100) | GEORGE SPRINGER (who wore # 4 with the Astros) | |