Properties of the Number 17151

Seventeen Thousand One Hundred Fifty-One

Basics

Value: 17150 → 17151 → 17152

Parity: odd

Prime: No

Previous Prime: 17137

Next Prime: 17159

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5717

Divisors: 1, 3, 5717, 17151

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011111111

Octal: 41377

Duodecimal: 9B13

Hexadecimal: 42ff

Square: 294156801

Square Root: 130.96182649917495

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

Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0. A201552

A sequence of asymptotic density ζ(9) - 1, where ζ is the Riemann ζ function. A143035

Sums of distinct powers of 7. A33044

a(n) = 14·n² + 1. A158482

a(n) = ∑_{i+j+k=n, i,j,k >= 1} τ(i)*τ(j)*τ(k), where τ() = A000005(). A191829

Largest coefficient in expansion of (1 + x + x² + ... + x^n-1)⁵ = ((1-xⁿ)/(1-x))⁵, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n. A77044

Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0. A83669

Number of arrays of n integers in -6..6 with sum zero. A201550

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood. A288595

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A288902