Properties of the Number 17797

Seventeen Thousand Seven Hundred Ninety-Seven

Basics

Value: 17796 → 17797 → 17798

Parity: odd

Prime: No

Previous Prime: 17791

Next Prime: 17807

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 13 × 37 ²

Divisors: 1, 13, 37, 481, 1369, 17797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110000101

Octal: 42605

Duodecimal: A371

Hexadecimal: 4585

Square: 316733209

Square Root: 133.4053971921676

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 having no more odd than even parts. A171966

13 times the squares: a(n) = 13·n². A152742

Structured rhombic triacontahedral numbers (vertex structure 7). A100165

Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n. A110375

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k)³. A392263

Numerators of continued fraction convergents to sqrt(832). A42606

Numbers p²*q, p > q odd primes such that q does not divide p-1, and q does not divide p+1. A350421

Record high values of A379248. A379294

G.f.: A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * (x·y)^n*(n+1/2) * C(x)ⁿ, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A355344

Expansion of (1/x) * Series_Reversion( x / (1-x) * (1-x-x²)³ ). A369487