Properties of the Number 66858

Sixty-Six Thousand Eight Hundred Fifty-Eight

Basics

Value: 66857 → 66858 → 66859

Parity: even

Prime: No

Previous Prime: 66853

Next Prime: 66863

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 × 1013

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 1013, 2026

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100101010

Octal: 202452

Duodecimal: 32836

Hexadecimal: 1052a

Square: 4469992164

Square Root: 258.5691396899483

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 2X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 2 zero-sum 3-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192698

a(n) = binomial(n,2)*(2^n-2 - n + 1). A342404

Smallest k>1 such that for each integer x, x^k=x or x^k=0 (mod n); or 0 if no such k exists. A66858