Properties of the Number 18215

Eighteen Thousand Two Hundred Fifteen

Basics

Value: 18214 → 18215 → 18216

Parity: odd

Prime: No

Previous Prime: 18211

Next Prime: 18217

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 3643

Divisors: 1, 5, 3643, 18215

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011100100111

Octal: 43447

Duodecimal: A65B

Hexadecimal: 4727

Square: 331786225

Square Root: 134.9629578810423

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 of n such that the number of parts having multiplicity >1 is a part and the number of distinct parts is not a part. A241411

Expansion of (1-x)²/(1-3·x+x³). A52545

a(n) = prime(n)*prime(n+1) + prime(n) + prime(n+1). A126199

Number of compositions of n whose standard factorization into Lyndon words has distinct strict compositions as factors. A299024

Numbers k such that A055079(k) = 2^k. A57838

Matrix log of triangle A117396. A117398

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)/3! * xⁿ * (1 + xⁿ)ⁿ. A326004

Numbers m such that σ(m+1)+σ(m-1) = 6*φ(m). A67243

a(n) = 729·n² - 2·n. A158394

Number of 12-core partitions of n. A192061