Properties of the Number 26772

Twenty-Six Thousand Seven Hundred Seventy-Two

Basics

Value: 26771 → 26772 → 26773

Parity: even

Prime: No

Previous Prime: 26759

Next Prime: 26777

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 23 × 97

Divisors: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010010100

Octal: 64224

Duodecimal: 135B0

Hexadecimal: 6894

Square: 716739984

Square Root: 163.62151447777276

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 nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. A208314

G.f. A(x,y) satisfies: A(x,y) = x·y + A(x,x·y)², with A(0,y) = 1. A275670

a(n) = floor(n*(n+2)*(2·n-1)/8). A7518

a(n) = n*(n + 1)*(4·n + 5)/2. A281381

Numbers k such that σ(k) and φ(k) are both palindromes. A113929

Number of n X 3 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. A208309

Number of nX7 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. A208313

a(n) = T(2n, n-2), T given by A026769. A26772

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4. A196680