Properties of the Number 17086

Seventeen Thousand Eighty-Six

Basics

Value: 17085 → 17086 → 17087

Parity: even

Prime: No

Previous Prime: 17077

Next Prime: 17093

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 8543

Divisors: 1, 2, 8543, 17086

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001010111110

Octal: 41276

Duodecimal: 9A7A

Hexadecimal: 42be

Square: 291931396

Square Root: 130.71342700732774

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

Triangular array: the fission of the polynomial sequence ((x+1)ⁿ: n >= 0) by the polynomial sequence ((x+2)ⁿ: n >= 0). (Fission is defined at Comments.) A193842

Number of integer partitions of n having no permutation with all equal run-lengths. A382915

a(n) = ∑_k=1..n floor(n/k)⁵. A318744

Mirror image of the triangle A193842. A193843

Number of solid standard Young tableaux of shape [[n,n,n],[n,n],[n]]. A214637

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n floor(n/j)^k. A344725

a(n+1) = a(n) + floor(a(n)/5) with a(0)=5. A182306

Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| ≠ w+x+y. A213485

Number of (m1,m2,n1,n2) in {0,1,...,n}⁴ such that gcd(X^m1 + (1+X)ⁿ¹, X^m2 + (1+X)ⁿ²) = 1 over GF(2). A245488

T(n, k) = 3·T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows. A119673