Properties of the Number 5777

Five Thousand Seven Hundred Seventy-Seven

Basics

Value: 5776 → 5777 → 5778

Parity: odd

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 53 × 109

Divisors: 1, 53, 109, 5777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010010001

Octal: 13221

Duodecimal: 3415

Hexadecimal: 1691

Square: 33373729

Square Root: 76.00657866263946

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

a(n) = 4·n² + 1. A53755

a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2. A1610

a(n) = floor(φⁿ), where φ = (1+sqrt(5))/2 is the golden ratio. A14217

Number of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

Primitive part of Fibonacci(n). A61446

Bruckman-Lucas pseudoprimes: k | (L_k - 1), where k is composite and L_k = Lucas numbers A000032. A5845

Rectangular array of numbers Fibonacci(m(n+1))/Fibonacci(m), m >= 1, n >= 0, read by downward antidiagonals. A28412

Odd Fibonacci pseudoprimes: odd composite numbers k such that either (1) k divides Fibonacci(k-1) if k == +-1 (mod 5) or (2) k divides Fibonacci(k+1) if k == +-2 (mod 5). A81264

Semiprimes of the form k²+1. A144255

a(n) = floor(n*φ¹⁸), where φ is the golden ratio, A001622. A4933