Properties of the Number 13713

Thirteen Thousand Seven Hundred Thirteen

Basics

Value: 13712 → 13713 → 13714

Parity: odd

Prime: No

Previous Prime: 13711

Next Prime: 13721

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 653

Divisors: 1, 3, 7, 21, 653, 1959, 4571, 13713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110010001

Octal: 32621

Duodecimal: 7B29

Hexadecimal: 3591

Square: 188046369

Square Root: 117.10251918724892

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

Triangle read by rows: T(n,k) = number of partitions of genus 2 of n elements with k parts (n >= 6, 2 <= k <= n-4). A297178

Denominators of the convergents of the continued fraction for L(2, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3. A153068

Number of numbers <= p² with largest prime factor <= p, where p is the n-th prime; a(0) = 1. A184677

a(n) = n + floor( n²/2 + n³/3 ). A236773

Number of distinct sums i³ + j³ + k³ for 0<=i<=j<=k<=n. A374710

Numbers n occurring in binary representation of n*(n+1)/2. A92734

Low point in segment n of A079051. A117518

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) / (1-x)⁶. A162539

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264629

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood. A272457