ℕ atory
Play Now

Properties of the Number 18624

Eighteen Thousand Six Hundred Twenty-Four

Basics

Value: 18623 → 18624 → 18625

Parity: even

Prime: No

Previous Prime: 18617

Next Prime: 18637

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 6 × 3 × 97

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100100011000000

Octal: 44300

Duodecimal: A940

Hexadecimal: 48c0

Square: 346853376

Square Root: 136.46977687385584

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 partitions with no even part repeated; partitions of n in which no parts are multiples of 4. A1935
Expansion of ψ(x) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A83365
Star of David matchstick numbers: a(n) = 6·n*(3·n+1). A45946
a(n) = (prime(n)2 - 1)/2 for n >= 2. A216244
Number of necklace compositions of n with distinct differences. A325554
Number of partitions of 2n+1 in which no parts are multiples of 4. A81056
Irregular table read by rows: Take a diagonal-edged (or diamond-shaped) checkerboard with all diagonals drawn, as in A333434. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A333458
Indices m such that A128646(m)-1 is prime, where A128646 = denominator of partial sums of 1/(p(i)-1). A137689
Number of n X n matrices over GF(2) that can be used as a kernel to construct a polar code. That is, the number of matrices for which channel polarization occurs. A187880
a(n) is the least number k such that the equation φ(x) = k has exactly n solutions and the arithmetic mean of these solutions is an integer, or -1 if no such number exists. A389860