Properties of the Number 22767

Twenty-Two Thousand Seven Hundred Sixty-Seven

Basics

Value: 22766 → 22767 → 22768

Parity: odd

Prime: No

Previous Prime: 22751

Next Prime: 22769

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7589

Divisors: 1, 3, 7589, 22767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100011101111

Octal: 54357

Duodecimal: 11213

Hexadecimal: 58ef

Square: 518336289

Square Root: 150.88737521741174

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. satisfies: A(x) = exp( ∑_n>=1 A(xⁿ)/(1+xⁿ) * xⁿ/n ). A198518

Expansion of ∏_m>=1 (1 + q^m)^3·m. A27346

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 4. A183632

a(n) = 3·a(n-1) + 5·a(n-2), with a(0)=2, a(1)=3. A72263

Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) having k valleys. The members of B(n) are paths of weight n that start at (0,0), end on but never go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A valley is a (1,-1)-step followed by a (1,1)-step. A182900

Number of weighted lattice paths in B(n) having no valleys. The members of B(n) are paths of weight n that start at (0,0), end on but never go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A valley is a (1,-1)-step followed by a (1,1)-step. A182901

Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock summing to 4. A183625

Number of (n+1) X 9 0..2 arrays with every 2 X 2 subblock summing to 4. A183631

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 617", based on the 5-celled von Neumann neighborhood. A273248

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 1), (1, 0, 0), (1, 1, 0)}. A150313