Properties of the Number 40776

Forty Thousand Seven Hundred Seventy-Six

Basics

Value: 40775 → 40776 → 40777

Parity: even

Prime: No

Previous Prime: 40771

Next Prime: 40787

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1699

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1699, 3398

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111101001000

Octal: 117510

Duodecimal: 1B720

Hexadecimal: 9f48

Square: 1662682176

Square Root: 201.93068117549646

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

G.f. A(x) satisfies A(x) = 1 + x·A(x·A(x)³). A143501

Triangle T(n,k) (n >= 1, 0 <= k <= floor((n-1)/2)) read by rows, where T(n,k) = (k+1)T(n-1,k) + (2n-4k)T(n-1,k-1). A101280

Number of ways to place 2 nonattacking zebras on an n X n board. A172137

Total number of inversions over all involutions of length n. A211606

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A143501. A384581

Number of 4-sided prudent polygons of area n. A348925

Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001. A260539

The number of the ordered triples (A,B,C) satisfying the system of the modular relations {A·B - B·A = C, B·C - C·B = A, C·A - A·C = B}, where A,B,C are distinct 2 X 2 matrices over Z(n). A194894

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001. A260544

G.f. A(x) satisfies: 0 = [x^n-1] 1 / A(x)^n²-n+1 for n>2. A303563