Pat Ballew is a retired math teacher who blogs about math. On 7 December 2015, Pat Ballew blogged that it was day

341of the year. In his posting Pat mentioned that341was the"smallest number with seven representations as a sum of three positive squares." Hmm... On the341th day of 2015, the MBNA was not checking numbers to see if they're the sum of three positive squares; however, it did find that341was the sum of seven consecutive primes.MathBabbler Number Analyst (MBNA) output: ========================================= 341 is a natural, whole, integer 341 is odd 341 proper divisors are: 1,11,31, 341 has 3 proper divisors 341 is deficient (sum of divisors is 43; ratio: 0.1261) 341 is unhappy 341 is a Squarefree Number 341 is composite (not prime) 341 has the prime factors: 11*31 (sum=42) 341 is semiprime (biprime or 2-almost prime) 341 is Arithmetic (A003601) 341 is the sum of 7 consecutive primes 341 = 37 + 41 + 43 + 47 + 53 + 59 + 61 341 in octal is 0525 341 in hexadecimal is 0x155 341 in binary is 101010101 (is odious)(is palindromic) 341 nearest square numbers: -17...20 (324...361 [19]) sqrt(341) = 18.4662 ln(341) = 5.83188 log(341) = 2.53275 341 reciprocal is .00293255131964809384164222873900 341! is 1.73939e+717 341 is 108.544 Pi years 341 is 17 score and 1 year 341 written as a Roman numeral is CCCXLI 341 is 171^2 - 170^2 and 171 + 170 = 341 341 is a multiple of 1 & it contains a 1 (A011531)

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 09 December 2015 (posted 10 December 2015)

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