Properties of the Number 58785

Fifty-Eight Thousand Seven Hundred Eighty-Five

Basics

Value: 58784 → 58785 → 58786

Parity: odd

Prime: No

Previous Prime: 58771

Next Prime: 58787

Digit Sum: 33

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 5 × 3919

Divisors: 1, 3, 5, 15, 3919, 11757, 19595, 58785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010110100001

Octal: 162641

Duodecimal: 2A029

Hexadecimal: e5a1

Square: 3455676225

Square Root: 242.45618160814132

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

Catalan numbers - 1. A1453

Number of integer compositions of n whose leaders of weakly decreasing runs are identical. A374742

a(n) = ∑_k∣n μ(k)*Catalan(n/k) (μ = Moebius function A008683). A2996

Number T(n,k) of set partitions of [n], where k is minimal such that for all j in [n]: j is member of block b implies b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; triangle T(n,k), n >= 0, 0 <= k <= max(floor(n/2), n-2), read by rows. A287640

Triangle read by rows: T(n,k) = number of heapable permutations of length n whose longest decreasing subsequence has length k. A390146

Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having leftmost valley at altitude k (if path has no valleys, then this altitude is considered to be 0). A97607

a(n) = C(n)-1+0ⁿ where C(n) = A000108(n). A141364

Number of Dyck paths of semilength n such that no level has more than ten peaks. A287974

Number of ordered rooted trees with n non-root nodes and all outdegrees <= ten. A291825

a(0) = 1 and a(n) = ∑_{k = 0..3·n} n/(n + 2·k)*binomial(n + 2·k,k) for n >= 1. A352276