Properties of the Number 26801

Twenty-Six Thousand Eight Hundred One

Basics

Value: 26800 → 26801 → 26802

Parity: odd

Prime: Yes

Previous Prime: 26783

Next Prime: 26813

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 26801

Divisors: 1, 26801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010110001

Octal: 64261

Duodecimal: 13615

Hexadecimal: 68b1

Square: 718293601

Square Root: 163.71010964506743

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

Primes of the form x² + 5·y², where·and y=x+1 are consecutive natural numbers. A176608

Primes of the form (5+ a triangular number A000217). A159049

Non-Brauer numbers. A349044

Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 3). A35534

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array. A219810

Expansion of ∑_k>=1 μ(k)*log(1 + x^k/(1 - x^k)³)/k. A308290

a(n) = ∑_j=1..n*(n-1) (n·j mod (n+j)). A309341

The difference between 10ⁿ and the lesser of the twin primes immediately before. A327133

∏_n>=1 (1 + a(n) * xⁿ) = 1 + ∑_n>=1 (n * (n + 1) / 2) * xⁿ. A359407

a(n) is the first prime p such that the concatenations of n consecutive primes, starting with p, in both forward and backward directions, are prime. A384958