Properties of the Number 83360

Eighty-Three Thousand Three Hundred Sixty

Basics

Value: 83359 → 83360 → 83361

Parity: even

Prime: No

Previous Prime: 83357

Next Prime: 83383

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 5 × 521

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010110100000

Octal: 242640

Duodecimal: 402A8

Hexadecimal: 145a0

Square: 6948889600

Square Root: 288.7213189218974

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

Small-number statistic from the enumeration of domino tilings of a 5-pillow of order n. A112838

Triangle of coefficients of the polynomials (1 - x)ⁿ*A(n,x/(1 - x)), where A(n,x) are the Eulerian polynomials of A008292. A141720

E.g.f. B(x) satisfies: B'(x) = A(x)*C(x) such that B(x)² - A(x)² = 3 and C(x)² - B(x)² = 5, where A(x) and C(x) are the e.g.f.s of A292121 and A292123, respectively. A292122

Numbers of squares formed by this procedure on n-th step: Step 1, draw a unit square. Step n, draw a unit square with center in every intersection of lines of the figure in step n-1. A336288

Triangle read by rows, T(n,k) = ∑_j=0..n (-1)^n+k+j A(n,j)*C(j,n-k), A(n,j) the Eulerian numbers; n >= 0, k >= 0. A225678

Subsequence of sequence A083359 in which factors do not overlap in the number. A83360

E.g.f.: A(x) + B(x) + C(x) where A'(x) = B(x)*C(x), B'(x) = A(x)*C(x), and C'(x) = A(x)*B(x), where A(x), B(x), and C(x) are the e.g.f.s of A292121, A292122, and A292123, respectively. A292120

E.g.f. A(x) satisfies: A'(x) = B(x)*C(x) such that B(x)² - A(x)² = 3 and C(x)² - A(x)² = 8, where B(x) and C(x) are the e.g.f.s of A292122 and A292123, respectively. A292121

E.g.f. C(x) satisfies: C'(x) = A(x)*B(x) such that C(x)² - A(x)² = 8 and C(x)² - B(x)² = 5, where A(x) and B(x) are the e.g.f.s of A292121 and A292122, respectively. A292123

E.g.f. D(x) = A(x)*B(x)*C(x) where A(x), B(x), and C(x) are the e.g.f.s of A292121, A292122, and A292123, respectively. A292124