Properties of the Number 18272

Eighteen Thousand Two Hundred Seventy-Two

Basics

Value: 18271 → 18272 → 18273

Parity: even

Prime: No

Previous Prime: 18269

Next Prime: 18287

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 571

Divisors: 1, 2, 4, 8, 16, 32, 571, 1142, 2284, 4568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011101100000

Octal: 43540

Duodecimal: A6A8

Hexadecimal: 4760

Square: 333865984

Square Root: 135.17396198972642

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

a(n) = 2*(a(n-1) + a(n-2)), a(0) = 0, a(1) = 1. A2605

Limiting reverse row of the array A274190. A274199

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. A232137

a(n) = ∑_k=0..n binomial(2n+1, 2k)*3^n-k. A102591

a(n)*a(n+3) - a(n+1)*a(n+2) = 2ⁿ, given a(0)=1, a(1)=1, a(2)=6. A80879

Triangle read by rows: Each row is constructed by forming the partial sums of the previous row, reading from the right and at every other row repeating the final term. A99959

Partial sums of A224613. A365446

E.g.f.: A(x) = 1/(1 - 6·x²)^{1 + 1/(3·x}). A193289

a(n) = ∑_i=0..n digsum₅(i)⁴, where digsum₅(i) = A053824(i). A231671

Number of partitions of n such that (greatest part) + (least part) > number of parts. A237871