Properties of the Number 31337

Thirty-One Thousand Three Hundred Thirty-Seven

Basics

Value: 31336 → 31337 → 31338

Parity: odd

Prime: Yes

Previous Prime: 31333

Next Prime: 31357

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 31337

Divisors: 1, 31337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001101001

Octal: 75151

Duodecimal: 16175

Hexadecimal: 7a69

Square: 982007569

Square Root: 177.02259742756007

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 p such that p's set of distinct digits is {1,3,7}. A108382

Primes p such that p+1, p+2 and p+3 have equal number of divisors. A119711

E.g.f. A(x) satisfies A(x) = (1 + x·A(x)³) * exp(x·A(x)³). A377893

Permanent of a certain cyclic n X n (0,1) matrix. A804

Primes with exactly three 3's. A178552

Expansion of ∏_k>=1 1 / (1 + x^k - x^2·k). A276527

The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)). A379224

Primes of the form n²+8. A138338

Numbers k such that the continued fraction for sqrt(k) has period 65. A20404

Primes p such that q=p²+p+1 is prime and (q²+q+1)/3 is prime. A322748