Properties of the Number 12729

Twelve Thousand Seven Hundred Twenty-Nine

Basics

Value: 12728 → 12729 → 12730

Parity: odd

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4243

Divisors: 1, 3, 4243, 12729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110111001

Octal: 30671

Duodecimal: 7449

Hexadecimal: 31b9

Square: 162027441

Square Root: 112.8228700219951

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

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is Euler transform of (j->j^k). A144048

a(n) = n-th term of Euler transform of n-th powers. A252782

Expansion of ∏_k>=1 (1 - x^k)^-k⁵. A23874

Number of tilings of a 16 X n rectangle using 2·n copies of the disconnected shape [oooo____oooo]. A323483

∑_i=0..n ∑_j=0..n (i AND j), where AND is the binary logical AND operator. A224924

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood. A287509

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood. A288192

Similar to A072921 but starting with 3. A152232

a(n) = 7·n² - 5·n + 1. A239449

Number of 2 X 2 matrices with all elements in {0,...,n} and prime permanent. A281090