Properties of the Number 26692

Twenty-Six Thousand Six Hundred Ninety-Two

Basics

Value: 26691 → 26692 → 26693

Parity: even

Prime: No

Previous Prime: 26687

Next Prime: 26693

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 6673

Divisors: 1, 2, 4, 6673, 13346, 26692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001000100

Octal: 64104

Duodecimal: 13544

Hexadecimal: 6844

Square: 712462864

Square Root: 163.37686494727458

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

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is a part. A241447

The bisection A053445(2n+1). A161921

In chess, the number of "at home" dual-free proof games in n plies. A102784

Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of·with Ceiling[Log[x]] radius equals 6. A96517

Let f(x) = 1 + x² + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹; sequence has g.f. g(x) = 1/(x¹¹*f(1/x)). A157876

Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1<=k<=n-1, T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if k or n-k is of form 2h for h=1,2,...,[ n/4 ], else T(n,k)=T(n-1,k-1)+T(n-1,k). A26692

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,4,3,0,1 for x=0,1,2,3,4. A196784