Properties of the Number 26541

Twenty-Six Thousand Five Hundred Forty-One

Basics

Value: 26540 → 26541 → 26542

Parity: odd

Prime: No

Previous Prime: 26539

Next Prime: 26557

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 983

Divisors: 1, 3, 9, 27, 983, 2949, 8847, 26541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110101101

Octal: 63655

Duodecimal: 13439

Hexadecimal: 67ad

Square: 704424681

Square Root: 162.91408778862558

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

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 7·A(x))ⁿ = 1 + 9*∑_n>=1 (-1)ⁿ * x^n². A370027

Triangle, read by rows, where the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal of this sequence. A91150

Triangular matrix, read by rows, equal to the matrix square of A102225, such that the first differences of row k forms row (k+1) of A102225. A102228

Row sums of triangle A091150, in which the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal. A91151

Positive numbers k such that k and 2·k are anagrams in base 7 (written in base 7). A23068

Left factorials: !n = ∑_k=0..n-1 k!. A3422

a(n) = T(n,n-4), T given by A026536. Also a(n) = number of integer strings s(0), ..., s(n), counted by T, such that s(n) = 4. A26541