Properties of the Number 66957

Sixty-Six Thousand Nine Hundred Fifty-Seven

Basics

Value: 66956 → 66957 → 66958

Parity: odd

Prime: No

Previous Prime: 66949

Next Prime: 66959

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 2029

Divisors: 1, 3, 11, 33, 2029, 6087, 22319, 66957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010110001101

Octal: 202615

Duodecimal: 328B9

Hexadecimal: 1058d

Square: 4483239849

Square Root: 258.7605070330478

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

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood. A288644

Expansion of 1/((1 - x)*(1 - ∑_k>=0 x^{2^k})). A303666

a(n) is the number of reducible monic quartic polynomials (x⁴ + r·x³ + s·x² + t·x + u) with integer coefficients bounded by naïve height n (abs(r), abs(s), abs(t), abs(u) <= n). A358399

a(n) = number of ways of placing '+' and '-' among the digits 123456789 so that the result of the expression is n, '-' before 1 IS allowed. A66957

Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241056