Properties of the Number 40765

Forty Thousand Seven Hundred Sixty-Five

Basics

Value: 40764 → 40765 → 40766

Parity: odd

Prime: No

Previous Prime: 40763

Next Prime: 40771

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 31 × 263

Divisors: 1, 5, 31, 155, 263, 1315, 8153, 40765

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111100111101

Octal: 117475

Duodecimal: 1B711

Hexadecimal: 9f3d

Square: 1661785225

Square Root: 201.90344226882314

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 with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4. A240192

Start with a single square; at n-th generation add a square at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247903

a(n) = C(n+2,3) + C(n,3) + C(n-1,3). A6004

Number of magic labelings with magic sum n of 4th graph shown in link. A244872

Number of nX6 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4. A240191

Number of 4 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4. A240194

Numbers that can be written in exactly two different ways in the form described by A387302. A387898

Continued fraction for sqrt(794). A40765