Properties of the Number 55800

Fifty-Five Thousand Eight Hundred

Basics

Value: 55799 → 55800 → 55801

Parity: even

Prime: No

Previous Prime: 55799

Next Prime: 55807

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ² × 31

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111111000

Octal: 154770

Duodecimal: 28360

Hexadecimal: d9f8

Square: 3113640000

Square Root: 236.22023622035434

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

Number of sublattices of index n in generic 4-dimensional lattice. A38991

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that contain both odd and even entries (0<=k<=floor(n/2)). A124418

T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its diagonal and antidiagonal neighbors by one or two. A265480

Molecular topological indices of the complete graph K_n. A181617

Fifth column of the (1,4)-Pascal triangle A095666. A95667

Numbers with prime factorization p·q²*r²*s³ (where p, q, r, s are distinct primes). A190109

Expansion of e.g.f. 1/(1 - log(1 + x))⁴. A354121

Table (read by rows) giving the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (k>=1, n>=2) contains T(i,k) for i=1 to k+1, where k=[2·n+1+(-1)^n-1]/4 and T(i,k) satisfies Fact(n) = ∑_i=1..k+1 T(i,k) * (n-1)^k-i+1 / (2·k-2)!. A101751

Triangle read by rows: T(n,k) = number of simple graphs on n labeled nodes with k edges that are node-disjoint unions of undirected cycle subgraphs. A144161

Numbers m such that m = s∣t = φ(s)*σ(t) for some numbers s and t, where "|" denotes concatenation. A159000