Properties of the Number 26077

Twenty-Six Thousand Seventy-Seven

Basics

Value: 26076 → 26077 → 26078

Parity: odd

Prime: No

Previous Prime: 26053

Next Prime: 26083

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 89 × 293

Divisors: 1, 89, 293, 26077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010111011101

Octal: 62735

Duodecimal: 13111

Hexadecimal: 65dd

Square: 680009929

Square Root: 161.48374531202822

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

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2. A214510

Array read by antidiagonals: T(m,n) is the number of connected dominating sets in the rook graph K_m X K_n. A360875

a(n) = T(6,n), array T given by A048505. A48511

a(n) is the numerator of ∑_{k = 0..n} fusc(k)/fusc(k+1) (where fusc is Stern's diatomic series A002487). A355075

Numbers whose set of base-12 digits is {1,3}. A32919

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 8, n >= 2. A214605

Length of longest chain of nonempty proper subsemigroups of the monoid of partial injective orientation-preserving functions of a chain with n elements. A242432

a(n) = ∑_k=0..n-1 T(n,k) * T(n,k+1), with T given by A026758. A27232

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255085

a(n) = T(2n,n+1), where T is the array defined in A024996. A26077