Properties of the Number 31397

Thirty-One Thousand Three Hundred Ninety-Seven

Basics

Value: 31396 → 31397 → 31398

Parity: odd

Prime: Yes

Previous Prime: 31393

Next Prime: 31469

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 31397

Divisors: 1, 31397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010100101

Octal: 75245

Duodecimal: 16205

Hexadecimal: 7aa5

Square: 985771609

Square Root: 177.19198627477485

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k. A2386

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Home primes: for n >= 2, a(n) = the prime that is finally reached when you start with n, concatenate its prime factors (A037276) and repeat until a prime is reached (a(n) = -1 if no prime is ever reached). A37274

Prime p with prime gap q - p of n-th record merit, where q is smallest prime larger than p and the merit of a prime gap is (q-p)/log(p). A111870

Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention. A46931

Home primes whose homeliness is greater than 4. A133963

Home primes whose homeliness is greater than 5. A133965

Home primes whose homeliness is greater than 6. A133967

Home primes whose homeliness is greater than 7. A133969

Home primes whose homeliness is 8. A133970