Properties of the Number 26723

Twenty-Six Thousand Seven Hundred Twenty-Three

Basics

Value: 26722 → 26723 → 26724

Parity: odd

Prime: Yes

Previous Prime: 26717

Next Prime: 26729

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 26723

Divisors: 1, 26723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001100011

Octal: 64143

Duodecimal: 1356B

Hexadecimal: 6863

Square: 714118729

Square Root: 163.4717100907677

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

Numbers k such that (3^k + 5^k)/8 = A074606(k)/8 is a prime. A122853

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626]. A78854

T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188607

Smallest prime Q such that prime(n)*(2·Q)^prime(n)-1 is prime. A245600

Primes p such that A276173(p) = p. A276174

Primes p such that (p·s) mod q and (p·s) mod r are a pair of twin primes, where q,r,s are the next primes after p. A338751

The smallest positive number such that sopfr(|a(n) - n|) = sopfr(a(n) + n) and ω(|a(n) - n|) = ω(a(n) + n), where sopfr(k) is the sum of the primes dividing k, with repetition. A370504

Primes of the form n²+5·n+c (n>=0), where c=3 for even n and c=-3 for odd n. A117012

Primes whose reversal - 1 is a square. A167218

Number of nX5 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188603