Properties of the Number 55078

Fifty-Five Thousand Seventy-Eight

Basics

Value: 55077 → 55078 → 55079

Parity: even

Prime: No

Previous Prime: 55073

Next Prime: 55079

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 27539

Divisors: 1, 2, 27539, 55078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011100100110

Octal: 153446

Duodecimal: 27A5A

Hexadecimal: d726

Square: 3033586084

Square Root: 234.6870256320106

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 binomial(4k, k) - 1 is prime. A125240

Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239987

Numbers n such that S(n) = 0, where S(n) = (S(n-1) + A000040(n+1))*(-1)ⁿ; S(0)=0, n >= 1. A131693

Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259. A71320

Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX3 array. A220972

Write n as a sum of terms of the form (p²-1)/24 where p is a prime > 4; sequence gives those n which require at least 4 terms. A55078