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Math Directory

3,621,639

3 × 72 × 71 × 347
Deficient Odd Composite

3,621,639 factors as 3 × 7^2 × 71 × 347. Its 24 positive divisors give a proper-divisor sum of 2,091,129, so this integer is deficient. The Collatz stopping time is 141 steps.

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Prime Factor Structure

Factorization String 3 × 7^2 × 71 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,712,768
Proper Divisor Sum 2,091,129
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3621623 ← → #3621643

Radix Representation

Decimal 3621639
Binary 1101110100001100000111 (22 bits)
Octal 0o15641407
Hexadecimal 0x374307

Divisor Catalog (5 of 24)

1 3 7 21 49

Collatz Trajectory (141 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.

3,621,639 10,864,918 5,432,459 16,297,378 8,148,689

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