Properties of the Number 40876

Forty Thousand Eight Hundred Seventy-Six

Basics

Value: 40875 → 40876 → 40877

Parity: even

Prime: No

Previous Prime: 40867

Next Prime: 40879

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 929

Divisors: 1, 2, 4, 11, 22, 44, 929, 1858, 3716, 10219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111110101100

Octal: 117654

Duodecimal: 1B7A4

Hexadecimal: 9fac

Square: 1670847376

Square Root: 202.17813927326566

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

Number of nonnegative solutions to x² + y² + z² <= n². A604

a(n) = 2*(n³ + n² + n - 1). A155120

a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }. A22905

Eigentriangle of Catalan triangle A033184. A172380

Triangle whose inverse has production matrix with general term (-1)^n-k+1*C(k+1, n-k+1). A172381

Equals one maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 n X 2 array. A220971

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood. A272289

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array. A220977

Continued fraction for sqrt(907). A40876