Properties of the Number 55788

Fifty-Five Thousand Seven Hundred Eighty-Eight

Basics

Value: 55787 → 55788 → 55789

Parity: even

Prime: No

Previous Prime: 55787

Next Prime: 55793

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4649

Divisors: 1, 2, 3, 4, 6, 12, 4649, 9298, 13947, 18596

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111101100

Octal: 154754

Duodecimal: 28350

Hexadecimal: d9ec

Square: 3112300944

Square Root: 236.19483482921467

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 (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231396

Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers. A108926

Numerators of continued fraction convergents to sqrt(155). A41284

Numerators of the convolutory inverse of the primes of the form 4m+1. A225129

a(0) = 1; a(n) = a(n-1)*(b(n)+1)/(b(n)-1), where b(n) = A385958(n) is the largest prime p such that a(n) is an integer. A385959

Number of (n+1) X (6+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231394

Number of (4+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231400

Number of symmetric types of (5,2n)-hypergraphs under action of complementing group C(5,2). A55788