Properties of the Number 54106

Fifty-Four Thousand One Hundred Six

Basics

Value: 54105 → 54106 → 54107

Parity: even

Prime: No

Previous Prime: 54101

Next Prime: 54121

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 2081

Divisors: 1, 2, 13, 26, 2081, 4162, 27053, 54106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101011010

Octal: 151532

Duodecimal: 2738A

Hexadecimal: d35a

Square: 2927459236

Square Root: 232.606964642076

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 X k 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299067

a(n) = ceiling(binomial(n,6)/n). A53643

a(n) = 3·n³ + 2·n² + n. A67389

A014486-indices of binary trees whose left and right subtree are identical. A83938

L.g.f.: -log(∏_k>=1 (1 - k·x^k)^k) = ∑_n>=1 a(n)*xⁿ/n. A296601

Number of fault-free tilings of a 3 X n rectangle with squares and dominoes. A334396

Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299062

Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299065

Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k) - C(n-2,k-1) + C(n-4,k-2) - ... +- C(n-2[n/2],m). A54106