Properties of the Number 9301

Nine Thousand Three Hundred One

Basics

Value: 9300 → 9301 → 9302

Parity: odd

Prime: No

Previous Prime: 9293

Next Prime: 9311

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 71 × 131

Divisors: 1, 71, 131, 9301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001010101

Octal: 22125

Duodecimal: 5471

Hexadecimal: 2455

Square: 86508601

Square Root: 96.44169222903547

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

Centered 20-gonal (or icosagonal) numbers. A69133

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233049

Expansion of ∏_k>=1 (1 + x^2·k) / (1 - x^k). A279328

a(n) = ∑_k=1..n binomial(n, k) (mod 2^k). A386660

Indices of centered heptagonal numbers (A069099) which are also centered pentagonal numbers (A005891). A253621

a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k. A24848

Number of nonempty subsets of {1, 2, ..., n} with <= 4 pairwise coprime elements. A187265

Expansion of ∏_k>=0 1/(1 + x^3·k+1)^3·k+1. A285286

Pseudoprimes to base 70. A20198

Strong pseudoprimes to base 70. A20296