Properties of the Number 59682

Fifty-Nine Thousand Six Hundred Eighty-Two

Basics

Value: 59681 → 59682 → 59683

Parity: even

Prime: No

Previous Prime: 59671

Next Prime: 59693

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 ³ × 29

Divisors: 1, 2, 3, 6, 7, 14, 21, 29, 42, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110100100100010

Octal: 164442

Duodecimal: 2A656

Hexadecimal: e922

Square: 3561941124

Square Root: 244.29899713261207

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

The least number k > A255334(n) for which A000203(k) = A000203(A255334(n)) and A007947(k) = A007947(A255334(n)), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255423

Number of colored integer partitions of n such that three colors are used and parts differ by size or by color. A327381

Numbers n for which there exists k < n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255335

Total number of rooted labeled trees over all forests on {1,2,...,n} in which one tree has been specially designated. A225497

Number of connected cubic planar identity graphs on 2n vertices. A380936

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, -1, 0), (1, -1, 1), (1, 0, 1)}. A148348

Triangle T(n,k) giving number of 2 X k polyominoes with n cells (n >= 2, 1<=k<=n-1). A59682

G.f. satisfies: A(x) = 1 + ∑_n>=1 xⁿ * A(n²*x)^1/n. A158889