Properties of the Number 26127

Twenty-Six Thousand One Hundred Twenty-Seven

Basics

Value: 26126 → 26127 → 26128

Parity: odd

Prime: No

Previous Prime: 26119

Next Prime: 26141

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2903

Divisors: 1, 3, 9, 2903, 8709, 26127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011000001111

Octal: 63017

Duodecimal: 13153

Hexadecimal: 660f

Square: 682620129

Square Root: 161.63848551629033

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7. A252167

Numbers k such that σ(k) = ψ(k) + π(k) + ω(k)⁵. A392054

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood. A290212

Number of compositions of n where the smallest part is greater than or equal to the number of parts. A98131

G.f.: A(x) = 1 + ∑_n>=1 x^n² * ((1-x)ⁿ + 1/(1-x)ⁿ). A197707

a(n) = 5·a(n-1) - 2ⁿ for n>0, a(0)=1. A247313

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7. A252161

G.f. A(x) satisfies: [xⁿ⁺¹] A(x)ⁿ = n*([x^n-1] A(x)ⁿ) for n>=1. A245310

a(n) = T(2n-1,n-1), where T is the array in A026120. A26127

Number of (n+1)X6 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203449