Properties of the Number 10815

Ten Thousand Eight Hundred Fifteen

Basics

Value: 10814 → 10815 → 10816

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 103

Divisors: 1, 3, 5, 7, 15, 21, 35, 103, 105, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000111111

Octal: 25077

Duodecimal: 6313

Hexadecimal: 2a3f

Square: 116964225

Square Root: 103.99519219656263

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

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

Numbers j in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352135

Cube of lower triangular matrix of A056857 (successive equalities in set partitions of n). A78938

Fourth column of PE³. A129329

a(n) = 16n² + 32n + 15. A141759

a(n) = ∑_k=0..n binomial(k+4,4) * binomial(2·k,2·n-2·k). A382471

a(n) = 3*(2·n - 1)*( 3*(2·n - 1)³ + 1) / 2. A355752

The Wiener index of the windmill graph D(6,n). The windmill graph D(m,n) is the graph obtained by taking n copies of the complete graph K_m with a vertex in common (i.e., a bouquet of n pieces of K_m graphs). A180577

Bases in which 13 is a unique-period prime. A306077

a(n) appears in the congruences modulo 4 or 32 of Markoff numbers m(n) = A002559(n) for odd or even m(n). A309376