Properties of the Number 17108

Seventeen Thousand One Hundred Eight

Basics

Value: 17107 → 17108 → 17109

Parity: even

Prime: No

Previous Prime: 17107

Next Prime: 17117

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 13 × 47

Divisors: 1, 2, 4, 7, 13, 14, 26, 28, 47, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011010100

Octal: 41324

Duodecimal: 9A98

Hexadecimal: 42d4

Square: 292683664

Square Root: 130.79755349393963

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

a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal pyramidal numbers in exactly n ways, or -1 if no such number exists. A350397

a(n) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

Number of vertices in a regular 2n-gon when all vertices are connect by straight lines except for the n lines joining diametrically opposite vertices. A368814

σ(n) plus the n-th prime gives a cube. A114081

O.g.f. A(x) satisfies: [xⁿ] exp(n·A(x)) * (1 - n·x - n·x²) = 0, for n > 0. A321086

a(0) = 397; a(n+1) = a(n)² if a(n) is prime, floor(a(n)/2) otherwise. A376801

Number of discrete implications I : L_n² -> L_n defined on the finite chain L_n = {0,1,...n} which satisfy the consequent boundary, i.e., I(x,y) >= y for all x,y in L_n. A367540

E.g.f. equals the imaginary part of the series F(x) = 1 + x·F(x)ⁱ where i=sqrt(-1). A179281

a(n) = (8·n+3)⁸. A17108

Number of (n+1)X3 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203959