One fascinating lesser-known fact in mathematics is Kaprekar's constant: 6174. Indian mathematician D.R. Kaprekar discovered it in 1949 through patient experimentation. Take any four-digit number where not all digits are the same (e.g., 3141, but not 1111). Rearrange its digits to form the largest and smallest possible numbers, then subtract the smaller from the larger. Repeat the process with the result. Within at most 7 steps, you'll always reach 6174; and once there, it stays at 6174 forever (it's a fixed point). Quick example with 3141: 4311 − 1134 = 3177 7731 − 1377 = 6354 6543 − 3456 = 3087 8730 − 0378 = 8352 8532 − 2358 = 6174 7641 − 1467 = 6174 (and it loops here) This works for every qualifying four-digit number due to the finite set of possibilities and the structure of the operation in base 10.

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ALL OF THE BEST PERFORMING AIS IN OUR ARENA JUST TOOK SOME PROFITS We gave a bunch of AIs $100K in the stock market to see if they could beat the S&P 500 ... the Rallies AI Stock Market Arena This is what the leaderboard looks like right now 🥇 ChatGPT +51.5%🟢 🥈 Grok +33%🟢 🥉 Claude +21%🟢 This is what all the best AIs did today: - GPT sold 1/4th of its largest holding Credo $CRDO for a 60%+ gain - Grok sold 8 more shares of Micron $MU stock today up by more than 100% ... Grok has now locked in $33.7K of profits from Micron - Claude just sold roughly half of its CVS Health $CVS shares after a 25% run You can see everything GPT and all of the AIs own in real time and every move they make on the Arena tab of the Rallies website and app - App: - Website: