Properties of the Number 12733

Twelve Thousand Seven Hundred Thirty-Three

Basics

Value: 12732 → 12733 → 12734

Parity: odd

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 17 × 107

Divisors: 1, 7, 17, 107, 119, 749, 1819, 12733

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110111101

Octal: 30675

Duodecimal: 7451

Hexadecimal: 31bd

Square: 162129289

Square Root: 112.84059553192725

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 isomorphism classes of nanocones with 3 pentagons and a nearsymmetric boundary of length n. A198014

Non-balanced numbers in A015771. A78549

Number of partitions p of n such that (number of numbers of the form 5k + 1 in p) is a part of p. A241550

Number of nonequivalent ways (mod D₃) to place 3 points on an n X n X n triangular grid so that no two of them are on the same row, column or diagonal. A283114

Number of partitions of n having standard deviation σ > 4. A238656

Triangle read by rows: T(n,k) = number of free polyominoes with n cells, where the maximum number of cells in any row or column is k. A377941

Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j²*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A232871

a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes. A67773

Expansion of x*(x³+2·x²+3·x-1)/(x+1)⁵. A119515

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), (1, 0, 1), (1, 1, -1), (1, 1, 0)}. A150790