Properties of the Number 13731

Thirteen Thousand Seven Hundred Thirty-One

Basics

Value: 13730 → 13731 → 13732

Parity: odd

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 15

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 23 × 199

Divisors: 1, 3, 23, 69, 199, 597, 4577, 13731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110100011

Octal: 32643

Duodecimal: 7B43

Hexadecimal: 35a3

Square: 188540361

Square Root: 117.17934971657762

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

a(n) = (3ⁿ+6*(-4)ⁿ)/7. A166035

Number of surviving (but not bifurcating) nodes at generation n in the binary tree of persistently squarefree numbers (see A293230). A293521

Number of length 3 walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part. A64043

Binomial transform of Bessel numbers A006789. A153197

a(n) = smallest palindrome > a(n-1) such that a(1)*a(2)*...*a(n) + 1 is prime with a(1) = 2. A51896

G.f. A(x) satisfies A(x) = 1/(1 - x·A(2·x)⁵). A171195

G.f. A(x) = ∑_n>=0 xⁿ*(A(x)ⁿ - 1)ⁿ/(1 - x·A(x)ⁿ)ⁿ⁺¹. A324618

Number of triangular regions in an equilateral triangular "frame" of size n (see Comments in A328526 for definition). A333032

Palindromes n such that 10n01 is a prime. A99744

Palindromic mountain numbers. A173070