λ
Zalai Atlas

3,682,520

23 × 5 × 43 × 2141
Abundant Even Composite

3,682,520 has the prime decomposition 2^3 × 5 × 43 × 2141. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,482,320
Proper Divisor Sum 4,799,800
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3682519 ← → #3682531

Radix Representation

Decimal 3682520
Binary 1110000011000011011000 (22 bits)
Octal 0o16030330
Hexadecimal 0x3830D8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (84 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

3,682,520 1,841,260 920,630 460,315 1,380,946

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