Properties of the Number 59346

Fifty-Nine Thousand Three Hundred Forty-Six

Basics

Value: 59345 → 59346 → 59347

Parity: even

Prime: No

Previous Prime: 59341

Next Prime: 59351

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 157

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011111010010

Octal: 163722

Duodecimal: 2A416

Hexadecimal: e7d2

Square: 3521947716

Square Root: 243.61034460794147

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

Number of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

a(n) = ∑_{d∣n, n/d=1 mod 4} d³. A50462

a(n) = n*(n+1)*(6·n-5)/2. A172082

q-expansion of modular form psi₀⁴/t_3B. A198956

a(n) = ∑_{d∣n, d=3 mod 4} d³. A50454

a(n) = n³ plus sum of digits of n³. A123135

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Coefficients of mock modular form H₃⁴ (divided by 2). A256053

Difference array of Catalan numbers A000108 read by antidiagonals. A59346