Properties of the Number 15525

Fifteen Thousand Five Hundred Twenty-Five

Basics

Value: 15524 → 15525 → 15526

Parity: odd

Prime: No

Previous Prime: 15511

Next Prime: 15527

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ² × 23

Divisors: 1, 3, 5, 9, 15, 23, 25, 27, 45, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010100101

Octal: 36245

Duodecimal: 8B99

Hexadecimal: 3ca5

Square: 241025625

Square Root: 124.59935794377112

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

Coefficients of expansion of 1/sqrt(1 - 10·x + 9·x²); also, a(n) is the central coefficient of (1 + 5·x + 4·x²)ⁿ. A84771

Numbers m such that there are precisely 17 groups of order m. A294949

Pascal-(1,3,1) array. A81578

Square array read by descending antidiagonals: T(n, k) where column k is the expansion of 1/sqrt(1 - 2*(k+1)*x + ((k-1)*x)²). A307883

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically. A207368

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into distinct parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327869

Number of partitions of n into parts of 6 kinds. A23005

a(n) = (2·n+1)*(2·n+3)*(2·n+5). A61550

15 times triangular numbers. A194715