λ
Prime Ledger

3,647,320

23 × 5 × 91183
Abundant Even Composite

3,647,320 has the prime decomposition 2^3 × 5 × 91183. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 91183
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,206,560
Proper Divisor Sum 4,559,240
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3647291 ← → #3647327

Radix Representation

Decimal 3647320
Binary 1101111010011101011000 (22 bits)
Octal 0o15723530
Hexadecimal 0x37A758

Divisor Catalog (5 of 16)

1 2 4 5 8

Collatz Trajectory (190 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.

3,647,320 1,823,660 911,830 455,915 1,367,746

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