Properties of the Number 26996

Twenty-Six Thousand Nine Hundred Ninety-Six

Basics

Value: 26995 → 26996 → 26997

Parity: even

Prime: No

Previous Prime: 26993

Next Prime: 27011

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 17 × 397

Divisors: 1, 2, 4, 17, 34, 68, 397, 794, 1588, 6749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101110100

Octal: 64564

Duodecimal: 13758

Hexadecimal: 6974

Square: 728784016

Square Root: 164.30459518832697

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

Array read by antidiagonals: T(m,n) is the number of (undirected) Hamiltonian paths in the m X n grid graph. A332307

Number of degree 2 vertices in the n-Sierpinski carpet graph. A365606

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252105

Number of Hamiltonian paths in P₅ X P_n. A3778

Number of Hamiltonian paths in P₆ X P_n. A145402

n³*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position. A30653

Number of idempotent 4X4 0..n matrices of rank 3. A224335

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252100

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252101

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 211", based on the 5-celled von Neumann neighborhood. A270899