Properties of the Number 26974

Twenty-Six Thousand Nine Hundred Seventy-Four

Basics

Value: 26973 → 26974 → 26975

Parity: even

Prime: No

Previous Prime: 26959

Next Prime: 26981

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 13487

Divisors: 1, 2, 13487, 26974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101011110

Octal: 64536

Duodecimal: 1373A

Hexadecimal: 695e

Square: 727596676

Square Root: 164.23763271552596

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

G.f.: ∏_{i>=1, j>=1, k>=1, l>=1} 1/(1 - x^i·j*k·l). A280487

Sum of lengths of initial and final horizontal segments over all dispersed Dyck paths of semilength n (i.e., over all Motzkin paths of length n with no (1,0)-steps at positive heights). A191531

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones. A31852

Numbers n such that [(π+e)/(π-e)]ⁿ is closer to its nearest integer than any value of [(π+e)/(π-e)]^k for 1 <= k < n. A80285

a(n) is the rank of the US English name of n when all its letters are written in all possible orders and arranged in alphabetic order. A351025

Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX5 array. A218660

Expansion of ∑_n>=0 ( (1+x)ⁿ/(1-x)ⁿ - (1-x)ⁿ/(1+x)ⁿ )ⁿ / 4ⁿ. A369088

a(n) = ∑_k=0..n-3 T(n,k) * T(n,k+3), with T given by A026648. A26974