Properties of the Number 17180

Seventeen Thousand One Hundred Eighty

Basics

Value: 17179 → 17180 → 17181

Parity: even

Prime: No

Previous Prime: 17167

Next Prime: 17183

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 859

Divisors: 1, 2, 4, 5, 10, 20, 859, 1718, 3436, 4295

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100011100

Octal: 41434

Duodecimal: 9B38

Hexadecimal: 431c

Square: 295152400

Square Root: 131.07249902248756

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) = floor(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104803

Number of compositions (ordered partitions) of n into distinct parts, the least being 3. A339164

Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1. A35957

Number of ways to write n as an ordered sum of 6 primes (counting 1 as a prime). A341985

a(n) is the coefficient of x^2·n-1 in the n-fold self-composition of G(x) = x + G(G(x))³ = g.f. of A153851. A153850

Draw a regular n-gon and the enclosing circle, then for each pair of vertices X, Y, draw a circle with diameter XY; the union of these figures is the graph H_n; sequence gives number of regions in H_n. A370978

Number of partitions of 2n into exactly 6 parts. A256310

Number of partitions of 4n into exactly 6 parts. A256317

Number of partitions of 2ⁿ into n parts. A283111

Number of partitions satisfying 0 < cn(2,5) + cn(3,5). A39897