Properties of the Number 16813

Sixteen Thousand Eight Hundred Thirteen

Basics

Value: 16812 → 16813 → 16814

Parity: odd

Prime: No

Previous Prime: 16811

Next Prime: 16823

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 23 × 43

Divisors: 1, 17, 23, 43, 391, 731, 989, 16813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110101101

Octal: 40655

Duodecimal: 9891

Hexadecimal: 41ad

Square: 282676969

Square Root: 129.6649528592827

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 multisets whose right half (inclusive) sums to n. A360671

Number of necklaces of n beads with up to n colors, with cyclic permutation {1,..,n} of the colors taken to be equivalent. A130293

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = ∑_j=1..n gcd(j, n)^k. A343510

a(n) = ∑_k=1..n gcd(k, n)⁵. A343499

a(0)=1, a(1)=1, a(n)=7·a(n/2) for n=2,4,6,..., a(n)=6·a((n-1)/2)+a((n+1)/2) for n=3,5,7,.... A116522

T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order. A204978

G.f. A(x) satisfies: A(x)⁸ = A(x²)⁴ + 8·x. A223026

a(n) is the number of vertices in the diagram of partitions of n (see example). A299475

a(n) = ∑_k=1..n gcd(k,n)^n-2. A342432

Fibonacci sequence beginning 13, 9. A206609