Properties of the Number 11565

Eleven Thousand Five Hundred Sixty-Five

Basics

Value: 11564 → 11565 → 11566

Parity: odd

Prime: No

Previous Prime: 11551

Next Prime: 11579

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 257

Divisors: 1, 3, 5, 9, 15, 45, 257, 771, 1285, 2313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110100101101

Octal: 26455

Duodecimal: 6839

Hexadecimal: 2d2d

Square: 133749225

Square Root: 107.54068997360952

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

Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of x+x² (cf. A122888). A135080

Triangle T(n, k) = Numbers of ways to place k points on a triangular grid of side n so that no two of them are adjacent. Triangle read by rows. A239567

Total area of all n-celled polyominoes. A57766

List of codewords in binary lexicode with Hamming distance 7 written as decimal numbers. A75937

Expansion of χ(q)³ / χ(q³) in powers of q where χ() is a Ramanujan θ function. A132972

Number of ways to place 5 points on a triangular grid of side n so that no two of them are adjacent. A239571

Expansion of b(q) / b(q²) in powers of q where b() is a cubic AGM θ function. A141094

The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r. A5576

Numbers k that divide 2^k+3 - 1. A69927

a(n) = ∑_i=0..n digsum₈(i)³, where digsum₈(i) = A053829(i). A231682