Properties of the Number 9331

Nine Thousand Three Hundred Thirty-One

Basics

Value: 9330 → 9331 → 9332

Parity: odd

Prime: No

Previous Prime: 9323

Next Prime: 9337

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 31 × 43

Divisors: 1, 7, 31, 43, 217, 301, 1333, 9331

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001110011

Octal: 22163

Duodecimal: 5497

Hexadecimal: 2473

Square: 87067561

Square Root: 96.59710140578754

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

a(n) = (6ⁿ - 1)/5. A3464

Central heptanomial coefficients: largest coefficient of (1+x+...+x⁶)ⁿ. A25012

a(n) = n⁰ + n¹ + ... + n^n-1, or a(n) = (nⁿ-1)/(n-1) with a(0)=0; a(1)=1. A23037

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 5, read by rows. A157156

Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0. A201552

Repunits in different bases: table by antidiagonals of numbers written in base k as a string of n 1's. A55129

Triangle of Gaussian binomial coefficients [ n,k ] for q = 6. A22170

Triangle read by rows: T(n,k) = value of the n-th repunit in base (k+1) representation, 1<=k<=n. A125118

Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

a(n) = 111111 in base n. A53700