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Math Directory

3,027,748

22 × 73 × 10369
Deficient Even Composite

3,027,748 factors as 2^2 × 73 × 10369. Its 12 positive divisors give a proper-divisor sum of 2,343,912, so this integer is deficient. The Collatz stopping time is 151 steps.

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Prime Factor Structure

Factorization String 2^2 × 73 × 10369
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,371,660
Proper Divisor Sum 2,343,912
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3027737 ← → #3027749

Radix Representation

Decimal 3027748
Binary 1011100011001100100100 (22 bits)
Octal 0o13431444
Hexadecimal 0x2E3324

Divisor Catalog (5 of 12)

1 2 4 73 146

Collatz Trajectory (151 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.

3,027,748 1,513,874 756,937 2,270,812 1,135,406

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