λ
Matchaa Zalai

1,673,628

22 × 3 × 11 × 31 × 409
Abundant Even Composite

1,673,628 factors as 2^2 × 3 × 11 × 31 × 409. Its 48 positive divisors give a proper-divisor sum of 2,734,692, so this integer is abundant. The Collatz stopping time is 114 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 31 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,408,320
Proper Divisor Sum 2,734,692
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1673627 ← → #1673629

Radix Representation

Decimal 1673628
Binary 110011000100110011100 (21 bits)
Octal 0o6304634
Hexadecimal 0x19899C

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (114 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.

1,673,628 836,814 418,407 1,255,222 627,611

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