Properties of the Number 17165

Seventeen Thousand One Hundred Sixty-Five

Basics

Value: 17164 → 17165 → 17166

Parity: odd

Prime: No

Previous Prime: 17159

Next Prime: 17167

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 3433

Divisors: 1, 5, 3433, 17165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100001101

Octal: 41415

Duodecimal: 9B25

Hexadecimal: 430d

Square: 294637225

Square Root: 131.01526628603247

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

G.f. satisfies: A(x) = ∑_n>=0 x^n² * A(x)ⁿ. A157134

Numbers n where τ(n) and n-τ(n) are perfect squares, with τ(n) the number of divisors of n (A000005). A245197

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-2·min{w,x,y,z}. A212745

a(n) = prime(1)² + prime(n)². A287922

Squared length of diagonal of right trapezoid with three consecutive prime length sides. A360790

Column 5 of triangle A091602. A91608

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and the total absolute value of displacements not greater than 2*(n-1). A263900

Numbers k such that k![10]-2 is prime, where k![10] is the ten-fold multifactorial. A283559

Semiprimes of the form k² + 4. A360741

Numbers whose base-7 representation has exactly 6 runs. A43621