Properties of the Number 27823

Twenty-Seven Thousand Eight Hundred Twenty-Three

Basics

Value: 27822 → 27823 → 27824

Parity: odd

Prime: Yes

Previous Prime: 27817

Next Prime: 27827

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 27823

Divisors: 1, 27823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110010101111

Octal: 66257

Duodecimal: 14127

Hexadecimal: 6caf

Square: 774119329

Square Root: 166.8022781619004

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 n such that (22ⁿ - 1)/21 is prime. A127997

Total number of prime power parts in all partitions of n. A73335

Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+. A129472

a(n) = number of nonempty subsets S of {1,2,...,n} such that (number of primes in S) <= (number of nonprimes in S). A369781

Lenny Conundrum #168: Neopet species in alphabetical order, converted to digits by the phone keypad code. A119568

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood. A270932

The number of hanging vertically stable self-avoiding walks of length n on a 2D square lattice where only the connecting rods have mass. A335596

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1110-0111-0001 pattern in any orientation. A147398

a(n) = 77*(n+1)*binomial(n+6,11). A27823