Properties of the Number 83904

Eighty-Three Thousand Nine Hundred Four

Basics

Value: 83903 → 83904 → 83905

Parity: even

Prime: No

Previous Prime: 83903

Next Prime: 83911

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 19 × 23

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011111000000

Octal: 243700

Duodecimal: 40680

Hexadecimal: 147c0

Square: 7039881216

Square Root: 289.66187184370676

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

Larger member of an infinitary amicable pair. A126170

Larger of tri-unitary amicable numbers pair: numbers (m, n) such that tsigma(m) = tsigma(n) = m + n, where tsigma(n) is the sum of the tri-unitary divisors of n (A324706). A324709

Composite numbers k such that φ(k) divides σ(k) - 2·k. A68412

G.f.: ∏_k>=1 (1 + x^k³) / (1 - x^k). A280278

Infinitary amicable numbers. A127664

Numbers k such that σ(k) = 2·k + 3*φ(k). A392691

a(1) = 1; a(n) = ∑_k=1..n-1 φ(a(k)*a(n-k)), where φ(m) is the totient function. A105075

Expansion of g.f. 1/(1-x) * ∑_k>=0 3^k * x²^k+1/(1+x²^k). A83904