Properties of the Number 54128

Fifty-Four Thousand One Hundred Twenty-Eight

Basics

Value: 54127 → 54128 → 54129

Parity: even

Prime: No

Previous Prime: 54121

Next Prime: 54133

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 17 × 199

Divisors: 1, 2, 4, 8, 16, 17, 34, 68, 136, 199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101110000

Octal: 151560

Duodecimal: 273A8

Hexadecimal: d370

Square: 2929840384

Square Root: 232.65424990745387

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293358

a(n) = C(3+n, n) + C(4+n, n) + C(5+n, n) + C(6+n, n). A62966

Partial sums of A267326. A264390

a(n) = (1/6)*(n+1)*(10·n² + 17·n + 12). A102296

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x-3)^k. A246799

Multiplicity of highest weight (or singular) vectors associated with character chi₁₉₀ of Monster module. A34578

T(n,2), array T as in A054126. A54128