Properties of the Number 8613

Eight Thousand Six Hundred Thirteen

Basics

Value: 8612 → 8613 → 8614

Parity: odd

Prime: No

Previous Prime: 8609

Next Prime: 8623

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 29

Divisors: 1, 3, 9, 11, 27, 29, 33, 87, 99, 261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110100101

Octal: 20645

Duodecimal: 4B99

Hexadecimal: 21a5

Square: 74183769

Square Root: 92.80624978954812

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

a(n) = n*(8·n - 3). A139273

3 times 9-gonal (or nonagonal) numbers: a(n) = 3·n*(7·n-5)/2. A152759

Number of partitions of n containing m(1) as a part, where m denotes multiplicity. A240486

Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355949

T(n,k)=Number of nXk 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230661

Expansion of 1/(1 - x/(1 - 1·2*x/(1 - 2·3*x/(1 - 3·4*x/(1 - 4·5*x/(1 - ...)))))), a continued fraction. A305532

a(n) = 11·n² + 22·n. A67705

Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n). A63381

Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A305342

a(n) = ∑_k=1..n φ(k) * (floor(n/k)³ - floor((n-1)/k)³). A344599