Properties of the Number 17120

Seventeen Thousand One Hundred Twenty

Basics

Value: 17119 → 17120 → 17121

Parity: even

Prime: No

Previous Prime: 17117

Next Prime: 17123

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 5 × 107

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001011100000

Octal: 41340

Duodecimal: 9AA8

Hexadecimal: 42e0

Square: 293094400

Square Root: 130.843417870369

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

Numbers k such that 2^k - 17 is prime. A59611

Pentagonal numbers with prime indices. A116995

Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1. A35956

Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358). A115709

Pentagonal numbers that are abundant. A379264

Number of irreducible polynomials occurring as the first component of a vertex in the Fibonacci zero tree, generated as in Comments. A262841

Number of basis partitions of n+81 with Durfee square size 9. A69252

a(n) = n⁴/6 - 2·n³/3 - n²/6 + 5·n/3 + 1. A299198

a(n) = (A001359(n+1)² - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822). A308344

a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n. A57671