λ
Prime Ledger

2,723,644

22 × 7 × 11 × 37 × 239
Abundant Even Composite

2,723,644 has the prime decomposition 2^2 × 7 × 11 × 37 × 239. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 37 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,128,640
Proper Divisor Sum 3,404,996
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2723641 ← → #2723687

Radix Representation

Decimal 2723644
Binary 1010011000111100111100 (22 bits)
Octal 0o12307474
Hexadecimal 0x298F3C

Divisor Catalog (5 of 48)

1 2 4 7 11

Collatz Trajectory (68 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.

2,723,644 1,361,822 680,911 2,042,734 1,021,367

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