Properties of the Number 5766

Five Thousand Seven Hundred Sixty-Six

Basics

Value: 5765 → 5766 → 5767

Parity: even

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 31 ²

Divisors: 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011010000110

Octal: 13206

Duodecimal: 3406

Hexadecimal: 1686

Square: 33246756

Square Root: 75.93418202627852

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) = 6·n². A33581

Solution to the Dancing School Problem with n girls and n+9 boys: f(n,9). A79928

T(n,k)=Number of length n+2 0..k arrays with no pair in any consecutive three terms totalling exactly k. A245995

T(n,k) = number of n X k 0..6 arrays with no entry increasing mod 7 by 6 rightwards or downwards, starting with upper left zero. A222340

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, all corners 1, and no 1 having more than two 1's adjacent. A391819

Number of 7's in all partitions of n. A24791

Numbers k such that σ(k) = ψ(k) + τ(k). A387953

Values of the difference d for 5 primes in geometric-arithmetic progression with the minimal sequence {5·5^j + j·d}, j = 0 to 4. A209204

a(n) = prime(n)*prime(n-1) - 1. A23515

Smallest area of any triangle with integer sides a <= b <= c and inradius n. A120572