About the Number 517 (five hundred seventeen)

This nBAB about the number 517 was created on Columbus Day 2009 (i.e. 517 is the difference between 2009 and 1492). year

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   517 is a natural, whole, integer
   517 is odd
   517 proper divisors are: 1,11,47,
   517 is deficient (sum of divisors is 59)
   517 is unhappy
   517 is not a Harshad number
   517 is not prime
   517 has the prime factors: 11*47 (sum=58)
   517 is semiprime (biprime or 2-almost prime)
   517 is a Smith number
   517 sum of prime factors is: 58
   517 is a lucky number
   517 in octal is 01005
   517 in hexadecimal is 0x205
   517 in binary is 1000000101 (is odious)
   517 nearest square numbers: -33...12 (484...529 [23])
   sqrt(517) = 22.7376
   ln(517) = 6.24804
   log(517) = 2.71349
   517 reciprocal is .00193423597678916827852998065764
   517! is 1.2597e+1180
   517 is 164.566 Pi years
   517 is 25 score and 17 years
   517 written as a Roman numeral is DXVII

According to NumberGossip.com, 517 is the "smallest number n such that n+sigma(n)+sigma(sigma(n)) is a cube, where sigma(n) is the sum of all divisors."

   sigma(517) = 576 (1+11+47+517)
   sigma(576) = 1651 
	     (1+2+3+4+6+8+9+12+16+18+24+32+36+48+64+72+96+144+192+288+576)
   517 + 576 + 1651 = 2744
   cuberoot(2744) = 14

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 12 October 2009

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