λ
Matchaa Zalai

3,221,624

23 × 7 × 57529
Abundant Even Composite

3,221,624 factors as 2^3 × 7 × 57529. Its 16 positive divisors give a proper-divisor sum of 3,681,976, so this integer is abundant. The Collatz stopping time is 270 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 57529
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,903,600
Proper Divisor Sum 3,681,976
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3221599 ← → #3221629

Radix Representation

Decimal 3221624
Binary 1100010010100001111000 (22 bits)
Octal 0o14224170
Hexadecimal 0x312878

Divisor Catalog (5 of 16)

1 2 4 7 8

Collatz Trajectory (270 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.

3,221,624 1,610,812 805,406 402,703 1,208,110

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