Properties of the Number 7916

Seven Thousand Nine Hundred Sixteen

Basics

Value: 7915 → 7916 → 7917

Parity: even

Prime: No

Previous Prime: 7907

Next Prime: 7919

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 1979

Divisors: 1, 2, 4, 1979, 3958, 7916

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111011101100

Octal: 17354

Duodecimal: 46B8

Hexadecimal: 1eec

Square: 62663056

Square Root: 88.9719056781409

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

Irregular triangle read by rows: T(n,k) is the number of polyhedra with n faces and k vertices (n >= 4, k=4..2n-4). A212438

Triangle, read by rows, that transforms rows into diagonals in the table of coefficients of successive iterations of x+x² (cf. A122888). A166900

Smallest base b > 1 such that both prime(n) and prime(n+1) are base-b Wieferich primes, i.e., p = prime(n) satisfies b^p-1 == 1 (mod p²) and q = prime(n+1) satisfies b^q-1 == 1 (mod q²). A259075

a(n) = (n/2)*binomial(n-1, floor((n-1)/2)) - 2^n-2. A107373

Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8). A58787

Coefficients of xⁿ in the (n-1)-th iteration of (x + x²) for n>=1. A112319

Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7. A58788

Number of partitions of n with rank 2 (the rank of a partition is the largest part minus the number of parts). A101199

Numbers p of primitive Pythagorean triangles such that perimeters and products of 3 sides are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, ar=a·b/2; s=a+b+c, s-+1 are primes, pr=a·b*c, pr-+1 are primes. A155178

Number of partitions p of n such that max(p) - min(p) = 10. A218573