About the Number 3313 (three thousand three hundred thirteen)

While creating a nBAB for the number 3133, MathBabbler accidently typed the number 3313 into NumberGossip.com. The "Number Gossip" reported that 3313 "is the smallest prime number where every digit d occurs d times."

   MathBabbler 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

3313 is a triple-M, triple-C, triple-I Roman numeral.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 21 July 2010