Properties of the Number 9292

Nine Thousand Two Hundred Ninety-Two

Basics

Value: 9291 → 9292 → 9293

Parity: even

Prime: No

Previous Prime: 9283

Next Prime: 9293

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 23 × 101

Divisors: 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010001001100

Octal: 22114

Duodecimal: 5464

Hexadecimal: 244c

Square: 86341264

Square Root: 96.39502061828712

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

The first primorial based variant of arithmetic derivative: a(prime(i)) = A002110(i-1), where prime(i) = A000040(i), a(u·v) = a(u)*v + u·a(v), with a(0) = a(1) = 0. A328768

Number of distinct values of multinomial coefficients ( n / (p1, p2, p3, ...) ) where (p1, p2, p3, ...) runs over all partitions of n. A70289

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254553

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array. A219519

Array read by antidiagonals: T(m,n) is the number of minimal edge cuts in the grid graph P_m X P_n. A378932

Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-2 places. A388

Numbers k such that ∑_i=1..k (i-τ(i))ⁱ == 0 (mod k), where τ(i) = A000005(i), the number of divisors of i, and i-τ(i) = A049820(i). A229210

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5. A264692

Number of minimal edge cuts in the 4 X n grid graph. A378934

Numbers n such that n² + 1 and (n+1)² + 1 are divisible by a square. A217798