Properties of the Number 7092

Seven Thousand Ninety-Two

Basics

Value: 7091 → 7092 → 7093

Parity: even

Prime: No

Previous Prime: 7079

Next Prime: 7103

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 197

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110110100

Octal: 15664

Duodecimal: 4130

Hexadecimal: 1bb4

Square: 50296464

Square Root: 84.2140130857092

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

Numbers n such that n is a substring of its square when both are written in base 2. A18826

T(n,k)=Number of arrangements of n+2 nonzero numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero. A188249

Number of integer partitions of n with no part dividing or divisible by all the others. A343342

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1. A113744

G.f. A(x) satisfies: 2·x = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A355352

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

Triangle read by rows: T(n,k) is the number of 2k-cycles in the n X n grid graph (2 <= k <= floor(n²/2), n >= 2). A302337

8-step Fibonacci sequence starting with 0,0,1,0,0,0,0,0. A251744

E.g.f.: x/(x+3-2·exp(x)). A292933

Number of different Othello positions at the end of the n-th ply. A124005