Properties of the Number 26561

Twenty-Six Thousand Five Hundred Sixty-One

Basics

Value: 26560 → 26561 → 26562

Parity: odd

Prime: Yes

Previous Prime: 26557

Next Prime: 26573

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 26561

Divisors: 1, 26561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011111000001

Octal: 63701

Duodecimal: 13455

Hexadecimal: 67c1

Square: 705486721

Square Root: 162.97545827516484

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 partitions of n into an odd number of parts. A27193

One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes. A701

Number of partitions of 2n of type EO (see Comments). A236559

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10. A31423

Irregular primes with irregularity index three. A60975

Number of integer partitions of n with reverse-alternating product > 1. A347449

Largest prime below prime(n)² (A001248). A54270

Primes which are the sum of three positive 4th powers. A85318

Primes of the form k² - 8. A28886

a(n) = smallest prime > a(n-1) such that a(n)+a(n-1) is multiple of k, a(1)=2, k=101. A178468