Properties of the Number 58221

Fifty-Eight Thousand Two Hundred Twenty-One

Basics

Value: 58220 → 58221 → 58222

Parity: odd

Prime: No

Previous Prime: 58217

Next Prime: 58229

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 6469

Divisors: 1, 3, 9, 6469, 19407, 58221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001101101101

Octal: 161555

Duodecimal: 29839

Hexadecimal: e36d

Square: 3389684841

Square Root: 241.29028161117472

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 ∏_k>=1 1/(1-x^k)^k*(k-1*(k-2)/6). A258352

Numbers that are the sum of four third powers in exactly eight ways. A345153

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-x) / (1 + x·exp(x)) ). A379456

E.g.f. C(x) + S(x), such that C(x)² - S(x)² = 1, 3·C(x)² - 2·D(x)³ = 1, and D(x) = 1 + Integral S(x)*C(x) dx. A278749

E.g.f. S(x) = Integral C(x)*D(x)² dx, where C(x)² - S(x)² = 1 and 3·C(x)² - 2·D(x)³ = 1. A278750

G.f.: A(x,y) = ∑_n>=0 xⁿ * ((1+x)ⁿ + y)ⁿ, where A(0) = 0, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) = ∑_n>=0 xⁿ * ∑_k=0..n T(n,k)*xⁿ*y^k, read by rows. A325580

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1+x)^n*(n+2). A325586

E.g.f. C(x) = 1 + Integral S(x)*D(x)² dx, where C(x)² - S(x)² = 1 and 3·C(x)² - 2·D(x)³ = 1. A278751

E.g.f. D(x) = 1 + Integral S(x)*C(x) dx, where C(x)² - S(x)² = 1 and 3·C(x)² - 2·D(x)³ = 1. A278752

Next-to-smallest k such that 2^2ⁿ - k is prime. A58221