Properties of the Number 57168

Fifty-Seven Thousand One Hundred Sixty-Eight

Basics

Value: 57167 → 57168 → 57169

Parity: even

Prime: No

Previous Prime: 57163

Next Prime: 57173

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 397

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111101010000

Octal: 157520

Duodecimal: 29100

Hexadecimal: df50

Square: 3268180224

Square Root: 239.0983061420553

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 non-Look-and-Say partitions of n. Number of integer partitions of n such that there is no way to choose a disjoint strict integer partition of each multiplicity. A351293

Expansion of q * (χ(-q) / χ(-q³))¹² in powers of q where χ() is a Ramanujan θ function. A226235

Number of 3 X 3 semimagic squares with distinct positive values < n. In a semimagic squares the row and column sums must all be equal (the "magic sum"). A173546

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T5 atom. A19190

Next larger integer with same binary weight (number of 1 bits) as n. A57168

Numbers k such that A064989(σ(k)) >= k. A337343