Properties of the Number 45842

Forty-Five Thousand Eight Hundred Forty-Two

Basics

Value: 45841 → 45842 → 45843

Parity: even

Prime: No

Previous Prime: 45841

Next Prime: 45853

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 22921

Divisors: 1, 2, 22921, 45842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100010010

Octal: 131422

Duodecimal: 22642

Hexadecimal: b312

Square: 2101488964

Square Root: 214.1074496602115

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 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops. A221114

The number of irreducible balanced subsets of [n]. A389802

Number of equivalence classes of compositions of n where two compositions a,b are considered equivalent if the summands of a can be permuted into the summands of b with an even number of transpositions. A218004

a(n) = A389802(2n+1). A389803

Site percolation series for 4.8 (bathroom tile) lattice. A120557

Number of 3 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops. A221115

Number of nX6 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops. A221112

Expansion of ∏_k>=0 1/(1 - x^k+1)^A001156(k). A45842