Properties of the Number 7792

Seven Thousand Seven Hundred Ninety-Two

Basics

Value: 7791 → 7792 → 7793

Parity: even

Prime: No

Previous Prime: 7789

Next Prime: 7793

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 487

Divisors: 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001110000

Octal: 17160

Duodecimal: 4614

Hexadecimal: 1e70

Square: 60715264

Square Root: 88.27230596285564

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 regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles (a(0)=0 by convention). A306302

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (0, 1, 0), (1, 1, -1), (1, 1, 1)}. A150500

Numbers of the form a⁵ + b⁴ with a, b > 0. A100294

Number of equilateral triangles with coordinates (x,y,z) in the set {0, 1,...,n}. A102698

T(n,k)=1/120 the number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock containing four distinct values. A183622

Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment. A117625

Expansion of e.g.f. arcsin(x·exp(x)). A297009

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁸ in powers of x. A1486

Expansion of ∏_k>=0 (1-x^4·k+1)^4·k+1. A285070

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] exp(x+y) / (exp(x) + exp(y) - exp(x+y))³. A382673