Properties of the Number 55818

Fifty-Five Thousand Eight Hundred Eighteen

Basics

Value: 55817 → 55818 → 55819

Parity: even

Prime: No

Previous Prime: 55817

Next Prime: 55819

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 443

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101000001010

Octal: 155012

Duodecimal: 28376

Hexadecimal: da0a

Square: 3115649124

Square Root: 236.25833318636614

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

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,51. A64262

Numbers on the square spiral board that are enclosed by four primes. A341542

Sequence of the "Natural Jewels": a natural jewel is a number that is totally enclosed by prime numbers in a version of Ulam Spiral. A172294

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,11. A64242

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17. A64245

Triangle T read by rows: T(i,j) = R(i-j,j), where R(i,0) = R(0,i) = 1 for i >= 0, R(i,j) = ∑_h=0..i-1 ∑_m=0..j R(h,m) for i >= 1, j >= 1. A55818

Irregular table read by rows: Take a Reuleaux triangle with all diagonals drawn, as in A340639. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A340614

G.f. A(x) satisfies: [xⁿ⁺¹] (1+x - x²*A(x))^n*(2·n+1) = 0, for n >= 0. A352409