Properties of the Number 26565

Twenty-Six Thousand Five Hundred Sixty-Five

Basics

Value: 26564 → 26565 → 26566

Parity: odd

Prime: No

Previous Prime: 26561

Next Prime: 26573

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 11 × 23

Divisors: 1, 3, 5, 7, 11, 15, 21, 23, 33, 35

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110011111000101

Octal: 63705

Duodecimal: 13459

Hexadecimal: 67c5

Square: 705699225

Square Root: 162.98772959950082

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

Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534

Odd primitive abundant numbers. A6038

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

Triangular numbers that are the product of two triangular numbers greater than 1. A188630

Odd infinitary abundant numbers. A127666

Odd unitary abundant numbers. A129485

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

Smallest order of cyclotomic polynomial containing n or -n as a coefficient. A13594

Odd squarefree abundant numbers. A112643

Triangle R, read by rows, where column k of R equals column 0 of P^2k+1 where P=A135880. A135894