Properties of the Number 26097

Twenty-Six Thousand Ninety-Seven

Basics

Value: 26096 → 26097 → 26098

Parity: odd

Prime: No

Previous Prime: 26083

Next Prime: 26099

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 8699

Divisors: 1, 3, 8699, 26097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010111110001

Octal: 62761

Duodecimal: 13129

Hexadecimal: 65f1

Square: 681053409

Square Root: 161.5456591803073

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.: exp( ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + d·xⁿ) ). A205478

Numbers k such that k and 5·k, taken together, are pandigital. A115925

a(n) is the number of central ideals of a garland of order 2n, i.e., a(n) = g(2n,n), where g(n,k) is the number of ideals of size k in a garland (or double fence) of order n (see A137278). A136029

Number of meanders of length n with Motzkin-steps avoiding the consecutive steps UD, HH and DU. A329665

Numbers k such that the largest prime divisor of k⁴+1 is less than k. A309562

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = 0, a(1) = 0, a(2) = 2, a(3) = 3. A295857

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 718", based on the 5-celled von Neumann neighborhood. A273426

a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4. Also a(n) = sum of numbers in row n+1 of the array T defined in A026082 and a(n) = 24·3^n-4 for n >= 4. A26097

Molien series for complete weight enumerators of Euclidean self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector. A99748