Properties of the Number 13683

Thirteen Thousand Six Hundred Eighty-Three

Basics

Value: 13682 → 13683 → 13684

Parity: odd

Prime: No

Previous Prime: 13681

Next Prime: 13687

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4561

Divisors: 1, 3, 4561, 13683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101110011

Octal: 32563

Duodecimal: 7B03

Hexadecimal: 3573

Square: 187224489

Square Root: 116.97435616407556

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) = 7ⁿ - 5ⁿ + 1ⁿ. A155640

T(n,k)=Number of nXk 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing. A224281

Number of ordered triples (i,j,k) with |i|,|j|,|k|,|i·j*k| <= n and gcd(i,j,k) <= 1. A226357

Triangle read by rows: T(n,k) is the number of unlabeled simple 3-connected graphs with n nodes and k edges (n >= 4, ceiling(3·n/2) <= k <= n*(n-1)/2). A339072

Number of tilings of an 8 X n rectangle using 2·n copies of the disconnected shape [oo__oo]. A323352

Number of multisets of exactly four partitions of positive integers into distinct parts with total sum of parts equal to n. A320789

Consecutive states of the linear congruential pseudo-random number generator (1541·s + 2957) mod 14000 when started at s=1. A385336

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, 1), (1, 0, -1)}. A148000

a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 2, 3] as of [2, 3, 1]. A211301

Number of nX3 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing. A224276