Properties of the Number 18625

Eighteen Thousand Six Hundred Twenty-Five

Basics

Value: 18624 → 18625 → 18626

Parity: odd

Prime: No

Previous Prime: 18617

Next Prime: 18637

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 ³ × 149

Divisors: 1, 5, 25, 125, 149, 745, 3725, 18625

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 100100011000001

Octal: 44301

Duodecimal: A941

Hexadecimal: 48c1

Square: 346890625

Square Root: 136.4734406395618

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 ways to choose a set of n nonempty subsets of {1..n} such that it is not possible to choose a different element from each. A368600

a(n) = (prime(n)² + 1)/2. A66885

Least k such that prime(n)² divides binomial(2k,k). A110494

Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0). A20478

Number of non-congruent solutions of x² + y² + z² + t² == 0 mod n. A240547

L.g.f.: -log( ∑_n=-oo..+oo (-2)ⁿ * (2·x)^n² ) = ∑_n>=1 a(n) * xⁿ/n. A337950

Downward vertical of triangular spiral in A051682. A81272

Number of Pythagorean quadruples mod n; i.e., number of solutions to w² + x² + y² = z² mod n. A96018

a(n) = 32·n² - 56·n + 25. A272129

Indices m such that A128646(m)-1 is prime, where A128646 = denominator of partial sums of 1/(p(i)-1). A137689