Properties of the Number 57798

Fifty-Seven Thousand Seven Hundred Ninety-Eight

Basics

Value: 57797 → 57798 → 57799

Parity: even

Prime: No

Previous Prime: 57793

Next Prime: 57803

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 ² × 19

Divisors: 1, 2, 3, 6, 9, 13, 18, 19, 26, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000111000110

Octal: 160706

Duodecimal: 29546

Hexadecimal: e1c6

Square: 3340608804

Square Root: 240.41214611579008

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

a(n) = n³ - n². A45991

Write 1 - x/(1-x) as an inverse power product 1/(1 + a(1)*x) * 1/(1 + a(2)*x²) * 1/(1 + a(3)*x³) * 1/(1 + a(4)*x⁴) * ... A290261

Number of intersections formed within a triangle by placing n points "in general position" on each of the three sides and connecting each point to each of the points on the other two sides using straight lines. A365929

a(n) = n*(n+1)². A114364

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = 1/(1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))). A285903

Triangular matrix T, read by rows, that satisfies: T³ + 3T² + 3T = SHIFTUP(T), also Tⁿ⁺² + 3Tⁿ⁺¹ + 3Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103237

Number of 2 X 2 symmetric matrices over Z(n) having nonzero determinant. A115077

Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 2 jokers. A57798