Properties of the Number 7816

Seven Thousand Eight Hundred Sixteen

Basics

Value: 7815 → 7816 → 7817

Parity: even

Prime: No

Previous Prime: 7793

Next Prime: 7817

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 977

Divisors: 1, 2, 4, 8, 977, 1954, 3908, 7816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010001000

Octal: 17210

Duodecimal: 4634

Hexadecimal: 1e88

Square: 61089856

Square Root: 88.40814442120137

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 balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing). A19298

Regular triangle read by rows: T(n,k) is the number of multiset partitions of normal multisets of size n into k blocks, where a multiset is normal if it spans an initial interval of positive integers. A317532

Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ... A52337

Numbers n such that p(8n) is prime, where p(n) is the number of partitions of n. A114168

Number of (directed) Hamiltonian paths in the n-ladder graph. A137882

T(n,k) = Number of n X k 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229428

Principal diagonal of the convolution array A213771. A213772

Expansion of 1/(1 - x + x⁴). A99530

Expansion of ∏_k>=1 (1 + x^k/(1 + x^2·k/(1 + x^3·k))). A327718

Expansion of x*(4+5·x-x²)/ (1-2·x-3·x²+x³). A95126