Properties of the Number 27803

Twenty-Seven Thousand Eight Hundred Three

Basics

Value: 27802 → 27803 → 27804

Parity: odd

Prime: Yes

Previous Prime: 27799

Next Prime: 27809

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 27803

Divisors: 1, 27803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010011011

Octal: 66233

Duodecimal: 1410B

Hexadecimal: 6c9b

Square: 773006809

Square Root: 166.74231616479364

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

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223126

Primes p, with index k, such that p-k and p+k are both prime. A143794

Numbers n such that sum of first n consecutive prime numbers is pandigital (includes all 10 digits exactly once). A49442

Primes p such that lcm(1,2,3,...,p-2,p-1,p) - 1 is prime. A154524

Denominators of continued fraction convergents to sqrt(393). A41747

Numbers k such that the sum of the first k consecutive prime numbers is pandigital (includes all 10 digits at least once). A228468

Larger prime in pair prime(k) +/- k for some k. A107637

Primes of the Form : p1=a·b+c;p2=a·c+b;p3=b·c+a;p=(p1+p2+p3)/2; p1,p2 and p3 are three consecutive prime numbers. A157722

Number of nX6 0..2 arrays with no more than floor(nX6/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223124

Number of 2Xn 0..2 arrays with no more than floor(2Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223127