Properties of the Number 9237

Nine Thousand Two Hundred Thirty-Seven

Basics

Value: 9236 → 9237 → 9238

Parity: odd

Prime: No

Previous Prime: 9227

Next Prime: 9239

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3079

Divisors: 1, 3, 3079, 9237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000010101

Octal: 22025

Duodecimal: 5419

Hexadecimal: 2415

Square: 85322169

Square Root: 96.10931276416453

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) = least k such that the remainder when 21^k is divided by k is n. A128361

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k*(1-x)^n-k. A217615

Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507. A262508

a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A33681

A(n,k) is the sum of k-th powers of coefficients in full expansion of (z₁+z₂+...+z_n)ⁿ; square array A(n,k), n>=0, k>=0, read by antidiagonals. A245397

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187857

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577

Numbers n such that n!8-2 is prime. A204664

Numbers that are the sum of seven fourth powers in exactly four ways. A345826

T(n,k)=Number of nX(k+1) 0..2 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope. A223309