Properties of the Number 77897

Seventy-Seven Thousand Eight Hundred Ninety-Seven

Basics

Value: 77896 → 77897 → 77898

Parity: odd

Prime: No

Previous Prime: 77893

Next Prime: 77899

Digit Sum: 38

Digital Root: 2

Palindrome: No

Factorization: 61 × 1277

Divisors: 1, 61, 1277, 77897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000001001001

Octal: 230111

Duodecimal: 390B5

Hexadecimal: 13049

Square: 6067942609

Square Root: 279.1003403795846

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

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/3)} (k/6)^j * (j+1)^n-2·j-1 / (j! * (n-3·j)!). A362378

E.g.f. satisfies A(x) = exp(x + x³/6·A(x)). A362381

a(n) is the greatest integer k such that k/Fibonacci(n) < e. A293674

The number of permutations of length n sortable by 2 block transpositions. A228392

Expansion of (1-x)^-1/(1+x-2·x²-x³). A77897