Properties of the Number 10565

Ten Thousand Five Hundred Sixty-Five

Basics

Value: 10564 → 10565 → 10566

Parity: odd

Prime: No

Previous Prime: 10559

Next Prime: 10567

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 2113

Divisors: 1, 5, 2113, 10565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101000101

Octal: 24505

Duodecimal: 6145

Hexadecimal: 2945

Square: 111619225

Square Root: 102.7861858422619

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) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n. A2219

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

Number of ordered pairs of integer partitions of n where no part of the first is greater than any part of the second. A322439

Number of partitions of n which can themselves be subdivided into two partitions whose sums differ by 1 at most. A276107

For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S. A7773

a(n) = (4·n³ + 12·n² - 4·n + 3)/3. A322594

Number of rooted trees with n nodes with every leaf at height 9. A48814

Total number of parts of multiplicity 6 in all partitions of n. A222706

Integers k such that 511·2^k - 1 is prime. A387925

Divisors of 2⁴⁴ - 1. A3549