Properties of the Number 13756

Thirteen Thousand Seven Hundred Fifty-Six

Basics

Value: 13755 → 13756 → 13757

Parity: even

Prime: No

Previous Prime: 13751

Next Prime: 13757

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 19 × 181

Divisors: 1, 2, 4, 19, 38, 76, 181, 362, 724, 3439

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110111100

Octal: 32674

Duodecimal: 7B64

Hexadecimal: 35bc

Square: 189227536

Square Root: 117.285975291166

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

Number of integer partitions of n into relatively prime parts that are all greater than 1. A302698

Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind. A59056

Number of multiset permutations of {1, 1, 2, 2, ..., n, n} with no fixed points. A459

Number of integer partitions of n whose parts have choosable sets of strict integer partitions. A387178

Triangle read by rows: T(n,k) = number of configurations of k nonattacking bishops on the black squares of an n X n chessboard (0 <= k <= n - [n>1]). A274105

Number of ways to place 2 nonattacking zebras on an n X n board. A172137

Numbers k such that k | sigma₆(k). A55710

a(n) = A293518(n) - A293519(n); how many more surviving even nodes than surviving (but not bifurcating) odd nodes there are at generation n in the binary tree of persistently squarefree numbers. A293517

Starts of runs of 5 consecutive even numbers that are all totient numbers (A002202). A333022

Square array read by antidiagonals: T(n,k) is the number of derangements of a multiset comprising n repeats of a k-element set. A372307