Properties of the Number 26957

Twenty-Six Thousand Nine Hundred Fifty-Seven

Basics

Value: 26956 → 26957 → 26958

Parity: odd

Prime: No

Previous Prime: 26953

Next Prime: 26959

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 3851

Divisors: 1, 7, 3851, 26957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110100101001101

Octal: 64515

Duodecimal: 13725

Hexadecimal: 694d

Square: 726679849

Square Root: 164.18587028121513

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

Generalized Fibonacci numbers A_n,3. A6208

Expansion of ∏_k>=1 (1 + x^k)^sigma₇(k). A301551

Number of (n+1) X 7 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186459

a(n) = ∑_k=0..n-1 T(n,k) * T(n,k+1), with T given by A026615. A26957

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186462

G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^2n-1)...)⁵)³)¹. A138211