Properties of the Number 17091

Seventeen Thousand Ninety-One

Basics

Value: 17090 → 17091 → 17092

Parity: odd

Prime: No

Previous Prime: 17077

Next Prime: 17093

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 211

Divisors: 1, 3, 9, 27, 81, 211, 633, 1899, 5697, 17091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011000011

Octal: 41303

Duodecimal: 9A83

Hexadecimal: 42c3

Square: 292102281

Square Root: 130.73255141700554

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

List of different composite numbers in Pascal-like triangles with index of asymmetry y = 1 and index of obliqueness z = 0 or z = 1. A141065

Numbers that are the sum of six fourth powers in four or more ways. A345561

Numbers that are the sum of six fourth powers in exactly four ways. A345816

Number of semistandard rectangular plane partitions of n. A323432

Expansion of 1/((1-6·x)*(1-9·x)). A16172

T(n,k)=Number of zero-sum nXk -3..3 arrays with every element unequal to at most two horizontal and vertical neighbors. A201958

Cyclops numbers whose squares are cyclops numbers. A239827

Number of Weyl group elements, not containing s₁ or s₂, which contribute nonzero terms to Kostant's weight multiplicity formula when computing the multiplicity of the zero-weight in the adjoint representation for the Lie algebra of type D and rank n. A234576

a(0) = 0, a(1) = 1; for n > 1, a(n) = a(n-2) + a(n-1) + A000071(n+1). A140992

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) / (1-x)⁶. A162539