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Math Directory

3,744,070

2 × 5 × 11 × 101 × 337
Deficient Even Composite

3,744,070 factors as 2 × 5 × 11 × 101 × 337. Its 32 positive divisors give a proper-divisor sum of 3,702,746, so this integer is deficient. The Collatz stopping time is 128 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 11 × 101 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,446,816
Proper Divisor Sum 3,702,746
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3744049 ← → #3744071

Radix Representation

Decimal 3744070
Binary 1110010010000101000110 (22 bits)
Octal 0o16220506
Hexadecimal 0x392146

Divisor Catalog (5 of 32)

1 2 5 10 11

Collatz Trajectory (128 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.

3,744,070 1,872,035 5,616,106 2,808,053 8,424,160

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