Properties of the Number 17112

Seventeen Thousand One Hundred Twelve

Basics

Value: 17111 → 17112 → 17113

Parity: even

Prime: No

Previous Prime: 17107

Next Prime: 17117

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 23 × 31

Divisors: 1, 2, 3, 4, 6, 8, 12, 23, 24, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011011000

Octal: 41330

Duodecimal: 9AA0

Hexadecimal: 42d8

Square: 292820544

Square Root: 130.81284340614266

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 ways of writing 0 as ∑_k=-n..n e(k)*k, where e(k) is 0 or 1. A980

Number of subsets of {1..n} containing all of their integer products <= n. A326076

Number of nX1 0..1 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope. A222955

a(n) = number of steps to reach 0 when starting from k = (3ⁿ)-1 and repeatedly applying the map that replaces k with k - (sum of digits in base-3 representation of k). A261233

Expansion of g.f. A(x,y) satisfying 0 = ∑_n=-oo..+oo xⁿ * A(x,y)ⁿ * (y - x^n-1)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A366730

12 times pentagonal numbers: a(n) = 6·n*(3·n-1). A153792

Number of arrays of n nonnegative integers with value i>0 appearing only after i-1 has appeared at least 5 times. A210542

Number of subsets of {2..n} containing no product of two or more (not necessarily distinct) elements. A326114

Infinite square array, where row r >= 0 is the orbit of r under the map A380873: concatenate(sum of digits, product of digits). A380872

Rank of K-groups of Furstenberg transformation group C*-algebras of n-torus. A84239