Properties of the Number 54798

Fifty-Four Thousand Seven Hundred Ninety-Eight

Basics

Value: 54797 → 54798 → 54799

Parity: even

Prime: No

Previous Prime: 54787

Next Prime: 54799

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 9133

Divisors: 1, 2, 3, 6, 9133, 18266, 27399, 54798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011000001110

Octal: 153016

Duodecimal: 27866

Hexadecimal: d60e

Square: 3002820804

Square Root: 234.08972638712703

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

Numbers k with all digits distinct and nonzero, such that none of k's digits divide k, but all the nonzero digits not in k do divide k. A133598

Expansion of ∏_k>=2 (1 + x^Fibonacci(k))/(1 - x^Fibonacci(k)). A300414

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence). A24475

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence). A25095

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * ∑_k=0..n x^k * {[x^k] A(x)^4·n}. A249937

Values·of the solutions (x,y) of the Diophantine equation 5*(X-Y)⁴ - 2·X*Y = 0 with X >= Y. A123378

Let N(k) and D(k) be the sequences defined in A054765 and A012244; write N(k)* D(k+j ) - N(k+j)*D(k) = (-1)^k+1*(k!)²*P(k) where P(k) is a polynomial in k of degree j-1; sequence gives coefficients of expansion of P(k) in powers of k for j=1,2,3,... A54798

Values·of the solutions (x,y) of the Diophantine equation 5*(X-Y)⁴ - 8·X*Y = 0 with X >= Y. A123380