Properties of the Number 7756

Seven Thousand Seven Hundred Fifty-Six

Basics

Value: 7755 → 7756 → 7757

Parity: even

Prime: No

Previous Prime: 7753

Next Prime: 7757

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 277

Divisors: 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1111001001100

Octal: 17114

Duodecimal: 45A4

Hexadecimal: 1e4c

Square: 60155536

Square Root: 88.06815542521599

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

Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals up to rotation (k >= 3). A295224

Expansion of e.g.f. ∏_k>=1 (1 + x^k/k)/(1 - x^k/k). A305199

Smith numbers of order 2. A174460

Triangle read by rows, s₄(n, k) where s_m(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0. A225471

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero. A231957

Number of colored quivers in the 4-mutation class of a quiver of Dynkin type A_n. A221184

T(n,k)=Number of nXk 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..3 array without adjacent equal elements in the latter. A229320

a(n) = T(2n,n), array T as in A038738. A38744

Partial sums of A363031. A363161

Truncated square numbers: 7·n² + 4·n + 1. A5892