Properties of the Number 16801

Sixteen Thousand Eight Hundred One

Basics

Value: 16800 → 16801 → 16802

Parity: odd

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 53 × 317

Divisors: 1, 53, 317, 16801

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110100001

Octal: 40641

Duodecimal: 9881

Hexadecimal: 41a1

Square: 282273601

Square Root: 129.61867149450345

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

Number of intersections of diagonals in the interior of a regular n-gon. A6561

Semiprimes in A056106. A113524

Semiprimes of the form n*(3·n-1)/2. A245365

Consecutive states of the linear congruential pseudo-random number generator for 16-bit WATFOR/WATFIV when started at 1. A384158

Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089851/A089853. A89848

a(n) = 7ⁿ-6. A164783

Number of 2 X 2 matrices having all terms in {1,...,n} and even determinant. A211064

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = ∑_{1 <= x₁, x₂, ..., x_k <= n} n/gcd(x₁, x₂, ..., x_k, n). A372968

Last occurrence of n partitions in A204814. A205301

G.f. satisfies: A(x) = 1 + x·A(x)³/A(-x)². A143562