Properties of the Number 26993

Twenty-Six Thousand Nine Hundred Ninety-Three

Basics

Value: 26992 → 26993 → 26994

Parity: odd

Prime: Yes

Previous Prime: 26987

Next Prime: 27011

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 26993

Divisors: 1, 26993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101110001

Octal: 64561

Duodecimal: 13755

Hexadecimal: 6971

Square: 728622049

Square Root: 164.2954655491137

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

Iccanobirt prime indices (1 of 15): Indices of prime numbers in A102111. A102131

Largest prime < n³. A77037

Primes p = p_n+1 such that p_n + p_n+2 = 2·p_n+1 + 12. A95673

Sum of the second largest parts in the partitions of n into 8 parts. A308997

Primes p with f(p), f(f(p)) and f(f(f(p))) all prime, where f(n) = prime(n) - n + 1. A235934

Primes occurring in A084704 exactly 4 times. A128655

Primes p such that x⁴⁸ = 2 has no solution mod p, but x²⁴ = 2 has a solution mod p. A59669

Primes p such that the least k with p+k and p+2k both prime sets a new record. A190423

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁴ *∏_i=1..t (1-xⁱ) ). A59821

Primes p0 such that p0+p1+p2-+2 are primes; p0,p1,p2 are three consecutive primes. A158351