Properties of the Number 77056

Seventy-Seven Thousand Fifty-Six

Basics

Value: 77055 → 77056 → 77057

Parity: even

Prime: No

Previous Prime: 77047

Next Prime: 77069

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁸ × 7 × 43

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110100000000

Octal: 226400

Duodecimal: 38714

Hexadecimal: 12d00

Square: 5937627136

Square Root: 277.58962516635955

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

Stirling2 triangle with scaled diagonals (powers of 4). A75499

Sum of the cubes of the divisor complements of the odd proper divisors of n. A352049

Expansion of 1/((1-4x)(1-8x)(1-12x)). A19677

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood. A287789

Expansion of e.g.f. arcsinh(x)/cos(x) (odd powers only). A302444

Where record values occur in A138385. A138391

a(n) = A004017(n)/2. A45825

Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1,...,n}. A209995

Total number of "humps" in all A005316(2n) open meanders with 2n crossings. A77056

Expansion of g.f. A(x) satisfying A( 2·x²/(1-2·x)² ) = 2·A(x)². A371712