Properties of the Number 26813

Twenty-Six Thousand Eight Hundred Thirteen

Basics

Value: 26812 → 26813 → 26814

Parity: odd

Prime: Yes

Previous Prime: 26801

Next Prime: 26821

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 26813

Divisors: 1, 26813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010111101

Octal: 64275

Duodecimal: 13625

Hexadecimal: 68bd

Square: 718936969

Square Root: 163.74675569305182

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

a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square. A62064

Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002. A86003

a(n) = (A085249(n) - 1)/6. A88349

Odd primes of the form (1+n)*(2+2·n)+n*(3+2·n) = 4·n²+7·n+2. A171749

Numbers k such that the continued fraction for sqrt(k) has period 85. A20424

Primes having primitive roots 2, 3, 5, 7, 11, and 13. A241047

Primes p such that the sum of cubes of the 4 consecutive primes starting with p is twice a prime. A368637

Number of partitions of n in which the greatest part is 7. A26813

Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 3 1s. A295348

Primes that remain prime when a single "1" digit is inserted between any two adjacent digits. A349636