Properties of the Number 16165

Sixteen Thousand One Hundred Sixty-Five

Basics

Value: 16164 → 16165 → 16166

Parity: odd

Prime: No

Previous Prime: 16141

Next Prime: 16183

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 53 × 61

Divisors: 1, 5, 53, 61, 265, 305, 3233, 16165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111100100101

Octal: 37445

Duodecimal: 9431

Hexadecimal: 3f25

Square: 261307225

Square Root: 127.1416532848303

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

Numbers k such that σ(k) = σ(k+10). A15880

10·n analog to Keith numbers. A282765

a(n) is the constant term in expansion of ∏_k=1..n (x^k² + 1 + 1/x^k²). A350249

a(n) is the number of representative four-color bracelets (necklaces with turning over allowed) with n beads, for n >= 4. A214309

Number of partitions of [2n] whose block maxima sum to 3n. A365441

G.f.: ∑_k>=0 x^k * ∏_j=1..2·k (1 + x^j)/(1 - x^j). A385088

Primitive subsequence of A111105. A137559

a(n) = ∑_k=0..3 f(n+k)² where f=A130519. A238604

Expansion of ∏_k>=1 (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041). A304785

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