Properties of the Number 58337

Fifty-Eight Thousand Three Hundred Thirty-Seven

Basics

Value: 58336 → 58337 → 58338

Parity: odd

Prime: Yes

Previous Prime: 58321

Next Prime: 58363

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 58337

Divisors: 1, 58337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001111100001

Octal: 161741

Duodecimal: 29915

Hexadecimal: e3e1

Square: 3403205569

Square Root: 241.53053637169774

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

Hafnian of a +/-1 array. A202038

Even coefficients in expansion of e.g.f. cos(x)/sqrt(cos(2·x)). A12085

Expansion of e.g.f. exp(arctanh(tan(x))). A12259

sech(arctan(sin(x)))=1-1/2!*x²+17/4!*x⁴-721/6!*x⁶+58337/8!*x⁸... A12193

a(n) = ∑_k=0..n binomial(n+k-1,k) * binomial(2·n+k-1,n-k). A378460

Area of all nondecreasing Dyck paths of length 2n. A61648

Primes of the form p² + q⁸ where p and q are primes. A122710

Absolute values of numerators of series expansion of cosh(x)/sqrt((cosh(x))²+(sinh(x))²) about 0 (even-indexed coefficients only). A128274

Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced. A270884

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 + x/(1 - 2^k*x/(1 + 3^k*x/(1 - 4^k*x/(1 + 5^k*x/(1 - ...)))))). A291207