While creating a nBAB for the number 3133, MathBabbler accidently typed the number

`into NumberGossip.com. The "Number Gossip" reported that`

3313`"is the smallest prime number where every digit d occurs d times."`

3313MathBabbler Number Analyst (MBNA) output: ========================================= 3313 is a natural, whole, integer 3313 is odd 3313 proper divisors are: 1, 3313 is deficient (sum of divisors is 1) 3313 is happy 3313 is not a Harshad number 3313 is prime ...Sexy prime with 3319 ...Sexy prime with 3307 ...Truman Gerald prime with 3343 ...Pythagorean ...Star ...Left-truncatable ...Right-truncatable 3313 is a lucky number 3313 is the sum of 17 consecutive primes 3313 = 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211 + 223 + 227 + 229 + 233 + 239 3313 in octal is 06361 3313 in hexadecimal is 0xcf1 3313 in binary is 110011110001 (is odious) 3313 nearest square numbers: -64...51 (3249...3364 [58]) sqrt(3313) = 57.5587 ln(3313) = 8.10561 log(3313) = 3.52022 3313 reciprocal is .00030184123151222456987624509507 3313! is inf 3313 is 1054.56 Pi years 3313 is 165 score and 13 years 3313 written as a Roman numeral is MMMCCCXIII 3313 = 1657^2 - 1656^2 and 1657 + 1656 = 3313

`is a triple-M, triple-C, triple-I Roman numeral.`

3313

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

**Created:** 21 July 2010

This work is licensed under a Creative Commons Attribution 3.0 United States License.