Properties of the Number 65766

Sixty-Five Thousand Seven Hundred Sixty-Six

Basics

Value: 65765 → 65766 → 65767

Parity: even

Prime: No

Previous Prime: 65761

Next Prime: 65777

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 97 × 113

Divisors: 1, 2, 3, 6, 97, 113, 194, 226, 291, 339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000011100110

Octal: 200346

Duodecimal: 32086

Hexadecimal: 100e6

Square: 4325166756

Square Root: 256.448825304387

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

Numbers k such that the digits of k², reversed, include the digits of k as a substring. A115761

Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=1, r=4, I={0,3}. A79973

Numerators of continued fraction convergents to sqrt(271). A41508

Numbers k such that the k-th triangular number contains only digits {1,2,6}. A119104

Numbers n such that n² ends with the digits of n reversed (A004086(n)). A269588

Expansion of e.g.f. -log(1 - ∑_k>=1 x^prime(k) / prime(k)!). A329261

Expansion of e.g.f. -log(1 - ∑_k>=0 x^{2^k} / (2^k)!). A329260

Number of compositions (ordered partitions) of n into prime parts not greater than sqrt(n). A368872

Sum of divisors of twice a square number, divided by three. A65766

Number of (n+1)X(3+1) 0..2 arrays with each 2X2 subblock having the number of clockwise edge increases less than or equal to the number of counterclockwise edge increases. A234827