Properties of the Number 13237

Thirteen Thousand Two Hundred Thirty-Seven

Basics

Value: 13236 → 13237 → 13238

Parity: odd

Prime: No

Previous Prime: 13229

Next Prime: 13241

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 31 × 61

Divisors: 1, 7, 31, 61, 217, 427, 1891, 13237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110110101

Octal: 31665

Duodecimal: 77B1

Hexadecimal: 33b5

Square: 175218169

Square Root: 115.05216208311776

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

7 times hexagonal numbers: a(n) = 7·n*(2·n-1). A195320

Numbers n such that 7ⁿ + 10 is prime. A217132

Numbers having exactly four representations by the quadratic form x²+xy+y² with 0<=x<=y. A198775

Products of three distinct primes of the form 6·k + 1. A154729

Square array T(n,k) = number of plane partitions of n with parts colored in (at most) k colors; n, k >= 1; read by antidiagonals. A306101

Number of distinct values of ∑_i=0..n x(i)*binomial(n,i), where the x(i) have values in 0..3. A205538

Sum of all the parts in the partitions of n into 5 parts. A308822

Crystal ball sequence for A₈ lattice. A8392

Composite numbers n such that λ(n) divides 5n-5, where λ is the Carmichael λ function (A002322). A231572

Number of partitions p of n such that min(p) + (number of parts of p) is not a part of p. A238495