Properties of the Number 7716

Seven Thousand Seven Hundred Sixteen

Basics

Value: 7715 → 7716 → 7717

Parity: even

Prime: No

Previous Prime: 7703

Next Prime: 7717

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 643

Divisors: 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000100100

Octal: 17044

Duodecimal: 4570

Hexadecimal: 1e24

Square: 59536656

Square Root: 87.840765023991

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

G.f. satisfies: A(x) = 1 + x/A(-x·A(x)¹²)⁶. A213105

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero. A189545

Sum of the fourth largest parts of the partitions of n into 9 squarefree parts. A326529

Number of subsets of {1..n} containing n and some element equal to the sum of two or more distinct other elements. A variation of non-binary sum-full subsets without re-usable elements. A365069

Right- or upward-moving paths connecting opposite corners of an n X n chessboard, visiting the diagonal in 0 up to (n-2) intermediate points between start and finish. Equivalently, subdivide the chessboard into 1 up to (n-1) blocks along the diagonal in all possible ways and sum the path-count over all sub-blocks. A75436

a(0)=2, a(n) = n²+a(n-1). A153056

a(n) = 4·n² + 24·n + 8. A153642

a(n) = A056520(n)+1 for n>0, a(0)=1. A179904

Magnetization for cubic lattice. A2929

Position of 2ⁿ in A051037 (5-smooth numbers). A188425