Properties of the Number 58229

Fifty-Eight Thousand Two Hundred Twenty-Nine

Basics

Value: 58228 → 58229 → 58230

Parity: odd

Prime: Yes

Previous Prime: 58217

Next Prime: 58231

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 58229

Divisors: 1, 58229

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001101110101

Octal: 161565

Duodecimal: 29845

Hexadecimal: e375

Square: 3390616441

Square Root: 241.306858584666

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266]. A78849

Triangle read by rows: a(1,1) = 1. a(m,m) = sum of all terms in rows 1 through m-1. a(m,n) = a(m-1,n) + (sum of all terms in rows 1 through m-1), for n < m. A159927

Prime p such that p and p+2 are twin primes and p²+p-1 p²+p+1 are also twin primes. A228968

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 279) or the same sequence for the mesh patterns (12, 309), (12, 345), (12, 465). A289607

The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3. A226692

Primes from merging of 5 successive digits in decimal expansion of ζ(2) or (π²)/6. A105378

Number of n X 1 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z. A209367

Initial member of 6 consecutive primes a, b, c, d, e, f such that both (f + a)/(d - c) and (e + b)/(d - c) are prime. A293619

Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime. A58229