Properties of the Number 83559

Eighty-Three Thousand Five Hundred Fifty-Nine

Basics

Value: 83558 → 83559 → 83560

Parity: odd

Prime: No

Previous Prime: 83557

Next Prime: 83561

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 23 × 173

Divisors: 1, 3, 7, 21, 23, 69, 161, 173, 483, 519

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001100111

Octal: 243147

Duodecimal: 40433

Hexadecimal: 14667

Square: 6982106481

Square Root: 289.065736468368

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

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

A diagonal of triangle A354650: a(n) = A354650(n,n), for n >= 0. A354658

Numbers k such that φ(σ(k)+k) = σ(k). A68366

Number of permutations of 6 indistinguishable copies of 1..n with exactly 3 adjacent element pairs in decreasing order. A151652

Nearest integer to 1/(∑_k>=n 1/k⁴). A83559