Properties of the Number 30825

Thirty Thousand Eight Hundred Twenty-Five

Basics

Value: 30824 → 30825 → 30826

Parity: odd

Prime: No

Previous Prime: 30817

Next Prime: 30829

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 137

Divisors: 1, 3, 5, 9, 15, 25, 45, 75, 137, 225

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100001101001

Octal: 74151

Duodecimal: 15A09

Hexadecimal: 7869

Square: 950180625

Square Root: 175.57049866079439

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

T(n,k)=Number of nXk binary arrays without the pattern 0 0 diagonally or vertically. A188706

E.g.f. satisfies: A(x - Integral 2·A(x) dx) = x + Integral 3·A(x) dx. A280573

Numbers m such that the largest digit in the decimal expansion of 1/m is 4. A351470

Terms k of A228058 for which A048146(k)+A162296(k) >= 2·k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor. A389219

Expansion of ∏_m>=1 (1+m·q^m)²⁵. A22653

Number of nX7 binary arrays without the pattern 0 0 diagonally or vertically. A188704

Number of 3 X n binary arrays without the pattern 0 0 diagonally or vertically. A188707

Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. A298090

[ exp(4/23)*n! ]. A30825