Properties of the Number 26597

Twenty-Six Thousand Five Hundred Ninety-Seven

Basics

Value: 26596 → 26597 → 26598

Parity: odd

Prime: Yes

Previous Prime: 26591

Next Prime: 26627

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 26597

Divisors: 1, 26597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011111100101

Octal: 63745

Duodecimal: 13485

Hexadecimal: 67e5

Square: 707400409

Square Root: 163.08586695357755

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 strict integer partitions with sum <= n that can be linearly combined using nonnegative coefficients to obtain n. A365311

Primes p such that q-p = 30, where q is the next prime after p. A124596

Triangle of coefficients of polynomials v(n,x) jointly generated with A209168; see the Formula section. A209169

Number of integers <= 2ⁿ of form 4 x² + 4·y + 5 y². A76

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood. A271416

Primes that can be generated by the concatenation in base 3, in ascending order, of two consecutive integers read in base 10. A287300

Primes p such that if q is the next prime, p+A004086(q) and q+A004086(p) are prime. A351728

a(n) is the least prime p such that n² + (p-n)² is prime and k² + (p-k)² is composite for 1 <= k < n. A376920

Expansion of (1+x)/(1-x-4·x²). A26597

Number of linear arrangements of n blue, n red and n green items such that there are no adjacent items of the same color (first and last elements considered as adjacent). A110707