Properties of the Number 40762

Forty Thousand Seven Hundred Sixty-Two

Basics

Value: 40761 → 40762 → 40763

Parity: even

Prime: No

Previous Prime: 40759

Next Prime: 40763

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 89 × 229

Divisors: 1, 2, 89, 178, 229, 458, 20381, 40762

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111100111010

Octal: 117472

Duodecimal: 1B70A

Hexadecimal: 9f3a

Square: 1661540644

Square Root: 201.89601283829256

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

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230899

Numbers k such that the continued fraction for sqrt(k) has period 73. A20412

Number of nX5 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230896

Expansion of 1/(1 - 4·x/(1-x)²)^5/2. A382274

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252136

Continued fraction for sqrt(791). A40762

Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4. A252072

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252198

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252470

Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303319