Properties of the Number 10725

Ten Thousand Seven Hundred Twenty-Five

Basics

Value: 10724 → 10725 → 10726

Parity: odd

Prime: No

Previous Prime: 10723

Next Prime: 10729

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 11 × 13

Divisors: 1, 3, 5, 11, 13, 15, 25, 33, 39, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111100101

Octal: 24745

Duodecimal: 6259

Hexadecimal: 29e5

Square: 115025625

Square Root: 103.56157588603989

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 (0,1) matrices with n ones and no zero rows or columns, up to row and column permutations. A49311

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2). A23855

Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31174

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Numbers k such that A276086(k) is a multiple of k. A328387

5 times hexagonal numbers: 5·n*(2·n-1). A152745

a(n) = ∏_{d∣n, d>1} prime(1+(d mod 6)). A320116

Sum of terms of n-th row of A077321. A77324