### 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 )
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 