Properties of the Number 17172

Seventeen Thousand One Hundred Seventy-Two

Basics

Value: 17171 → 17172 → 17173

Parity: even

Prime: No

Previous Prime: 17167

Next Prime: 17183

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 53

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100010100

Octal: 41424

Duodecimal: 9B30

Hexadecimal: 4314

Square: 294877584

Square Root: 131.04197800704932

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

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Second partial sums of fourth powers (A000583). A101089

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

a(n) = 1·8ⁿ + 2·7ⁿ + 3·6ⁿ + 4·5ⁿ + 5·4ⁿ + 6·3ⁿ + 7·2ⁿ + 8·1ⁿ. A254146

a(n) = A033879(A276086(n)). A324654

The number of vertices formed on an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices. A333026

Number of partitions of n such that 2*(least part) < number of parts. A237758

12 times hexagonal numbers: 12·n*(2·n-1). A143698

T(n, k) = E(n, k)*2^k where E(n,k) are the Eulerian numbers A173018, for n > 0 and 0 <= k <= n-1, additionally T(0,0) = 1. A156365

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=1. Then a(n)=a(3·r+p_i) gives the quantity of H_9,1,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187499