Properties of the Number 9213

Nine Thousand Two Hundred Thirteen

Basics

Value: 9212 → 9213 → 9214

Parity: odd

Prime: No

Previous Prime: 9209

Next Prime: 9221

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 83

Divisors: 1, 3, 37, 83, 111, 249, 3071, 9213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111111101

Octal: 21775

Duodecimal: 53B9

Hexadecimal: 23fd

Square: 84879369

Square Root: 95.98437372822724

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

Expansion of 1/(1-x²-2·x³). A52947

Array read by antidiagonals: T(m,n) is the number of matchings in the stacked prism graph C_m X P_n. A287428

a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes. A66509

a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 8's. A48545

Expansion of x²/(1-x²-2·x³). A159287

Smallest number that requires n iterations of the bi-unitary totient function (A116550) to reach 1. A5424

Expansion of g.f. (x²+x+1)*(2·x²+2·x+1)*(x-1)²/((1-x²-2·x³)*(x⁴+1)). A107850

Number of partitions of n which can themselves be subdivided into two partitions whose sums differ by 1 at most. A276107

The first 8 values are predefined, the remaining set to a(n) = 48·prime(n)+n+2. A129025

Expansion of ∏_k>=1 1/(1 - x^k)^d(k-1), where d(k) = number of divisors of k (A000005). A318783