Properties of the Number 58768

Fifty-Eight Thousand Seven Hundred Sixty-Eight

Basics

Value: 58767 → 58768 → 58769

Parity: even

Prime: No

Previous Prime: 58763

Next Prime: 58771

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 3673

Divisors: 1, 2, 4, 8, 16, 3673, 7346, 14692, 29384, 58768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010110010000

Octal: 162620

Duodecimal: 2A014

Hexadecimal: e590

Square: 3453677824

Square Root: 242.42112119202815

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

a(n) = A129150(n) / 4, where A129150(n) = n-th arithmetic derivative of 2³. A129284

a(n) = A129151(n) / 27. A129285

Number of Catalan objects fixed by four-fold application of the Catalan bijections A057511/A057512 (Deep rotation of general parenthesizations/plane trees). A79225

Sum of the elements in the coprime subsets of the integers 1 to n. A87081

Expansion of φ(-q⁹) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A128770

Least k > 0 such that gcd(kⁿ+4, (k+1)ⁿ+4) > 1, or 0 if there is no such k. A255854

Expansion of φ(q⁹) / φ(q) in powers of q where φ() is a Ramanujan θ function. A261988

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood. A272292

Numbers k such that (2^k + 1)³ - 2 is a semiprime. A360994

McKay-Thompson series of class 94A for the Monster group. A58768