Properties of the Number 22596

Twenty-Two Thousand Five Hundred Ninety-Six

Basics

Value: 22595 → 22596 → 22597

Parity: even

Prime: No

Previous Prime: 22573

Next Prime: 22613

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 269

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100001000100

Octal: 54104

Duodecimal: 110B0

Hexadecimal: 5844

Square: 510579216

Square Root: 150.31965939290842

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 p of n such that mean(p) >= multiplicity(min(p)). A240079

E.g.f. satisfies log(A(x)) = x * (exp(x·A(x)) - 1) * A(x)³. A356789

G.f.: ∏_m>=1 1/(1-x^m)^A018819(m). A89292

Number of partitions p of n such that mean(p) > multiplicity(min(p)). A240206

a(n) = a(n-1) + a(n-2) + (n+2)*binomial(n+3, 3)/2, with a(0) = 1, a(1) = 7. A54469

a(n) = 3·trinomial(n+1,0) - trinomial(n+2,0). A103872

Number of nX3 0..1 arrays with every element unequal to 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A305218

Least k such that the distance from k² to closest prime = n or zero if no k exists. A79666

Expansion of ( (1 + 3·x)/(1 - x) )^1/2. A372023

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (1, 1, -1)}. A148281