Properties of the Number 25572

Twenty-Five Thousand Five Hundred Seventy-Two

Basics

Value: 25571 → 25572 → 25573

Parity: even

Prime: No

Previous Prime: 25561

Next Prime: 25577

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2131

Divisors: 1, 2, 3, 4, 6, 12, 2131, 4262, 6393, 8524

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001111100100

Octal: 61744

Duodecimal: 12970

Hexadecimal: 63e4

Square: 653927184

Square Root: 159.91247606112537

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

Numbers whose square is a zeroless pandigital number (i.e., use the digits 1 through 9 once). A71519

T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three no more than once. A269201

Number of monotone n-weightings of complete bipartite digraph K(4,2). A85464

Expansion of q / (χ(q) * χ(q²) * χ(q³) * χ(q⁶))² in powers of q where χ() is a Ramanujan θ function. A212770

Number of self-avoiding walks on a 2-dimensional square lattice where the walk consists of steps with incrementing lengths equal to the square numbers, from 1 to n². A347506

Numbers whose square contains all of the digits 1 through 9. A294661

a(n) = n-th row common denominator of A321121. A321122

Number of inequivalent n X 3 nonnegative integer arrays with row sums 3 and column sums n up to permutations of rows and columns. A377061

Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239987

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252142