Properties of the Number 82104

Eighty-Two Thousand One Hundred Four

Basics

Value: 82103 → 82104 → 82105

Parity: even

Prime: No

Previous Prime: 82073

Next Prime: 82129

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 311

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000010111000

Octal: 240270

Duodecimal: 3B620

Hexadecimal: 140b8

Square: 6741066816

Square Root: 286.5379556009989

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

Number of genus 2, degree n, simply ramified covers of an elliptic curve. A170991

Numerators of coefficients in expansion of E₁₄/E₁₂. A288472

Coefficients in expansion of 691·E₁₂/δ where δ is the generating function of Ramanujan's τ function (A000594). A288837

Numerators of constant terms of Fourier series of meromorphic modular forms E_k/δ, where E_k is the normalized k th Eisenstein series [cf. Serre reference] and δ is the normalized unique weight-twelve cusp form for the full modular group (the generating function of Ramanujan's τ function.) A160971

Denominators of coefficients in expansion of E₁₄/E₁₂. A288989

Define the exponents b(1), b(2), ... such that E₁₂ is equal to (1-q)^b(1) (1-q²)^b(2) (1-q³)^b(3) ... . a(n) = b(n) * A288989(n). A288990

Number of distinct characteristic polynomials among all simple undirected graphs on n nodes. A82104