Properties of the Number 83538

Eighty-Three Thousand Five Hundred Thirty-Eight

Basics

Value: 83537 → 83538 → 83539

Parity: even

Prime: No

Previous Prime: 83537

Next Prime: 83557

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 2 × 3 ³ × 7 × 13 × 17

Divisors: 1, 2, 3, 6, 7, 9, 13, 14, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001010010

Octal: 243122

Duodecimal: 40416

Hexadecimal: 14652

Square: 6978597444

Square Root: 289.02941026822856

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

Given n colors, sequence gives number of ways to color the vertices of a square such that no edge has the same color on both of its vertices. A91940

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives z numbers. A125492

Coefficients in q-expansion of (E₂*E₄ - E₆)/720, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A281372

Sum of 4th powers of proper divisors of n. A279363

Palindromes with exactly 7 prime factors (counted with multiplicity). A46333

Sum of two powers of 17. A73213

G.f. A(x) satisfies A097191(x·A(x)) = A(x) and so equals the ratio of the g.f.s of any two adjacent diagonals of triangle A097190. A97193

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34. A31712

Palindromes with exactly 5 distinct prime divisors. A373465

Expansion of 1/(1 - 6·x + x²)^5/2. A387341