Properties of the Number 40796

Forty Thousand Seven Hundred Ninety-Six

Basics

Value: 40795 → 40796 → 40797

Parity: even

Prime: No

Previous Prime: 40787

Next Prime: 40801

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 31 × 47

Divisors: 1, 2, 4, 7, 14, 28, 31, 47, 62, 94

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111101011100

Octal: 117534

Duodecimal: 1B738

Hexadecimal: 9f5c

Square: 1664313616

Square Root: 201.98019704911667

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

Triangle read by rows: T(n,k) is the number of rooted trees with k nodes which are disjoint sets of labels with union {1..n}. If a node has an empty set of labels then it must have at least two children. A94262

Number of ways to place 3 nonattacking grasshoppers on a chessboard of size n·n. A190395

Numbers k such that σ(σ(σ(k))) == 6*σ(k). A67065

Number of 4-step one space at a time bishop's tours on an n X n board summed over all starting positions. A187157

Number of nX5 0..1 arrays with every element unequal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A305357

Expansion of e.g.f. 1 - LambertW(-log(1+x))*(2 + LambertW(-log(1+x)))/2. A323619

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A305360

Continued fraction for sqrt(825). A40796