3,309,028

2² × 41 × 20177

3,309,028 factors as 2^2 × 41 × 20177. Its 12 positive divisors give a proper-divisor sum of 2,623,304, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 20177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,932,332

Proper Divisor Sum 2,623,304

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3309013 ← → #3309037

Radix Representation

Decimal	3309028
Binary	1100100111110111100100 (22 bits)
Octal	0o14476744
Hexadecimal	0x327DE4

Divisor Catalog (12)

1 2 4 41 82 164 20,177 40,354 80,708 827,257 1,654,514 3,309,028

Collatz Trajectory (252 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,309,028 1,654,514 827,257 2,481,772 1,240,886 620,443 1,861,330 930,665 2,791,996 1,395,998 697,999 2,093,998 1,046,999 3,140,998 1,570,499 4,711,498 2,355,749 7,067,248 3,533,624 1,766,812 883,406 441,703 1,325,110 662,555 1,987,666 993,833 2,981,500 1,490,750 745,375 2,236,126 1,118,063 3,354,190 1,677,095 5,031,286 2,515,643 7,546,930 3,773,465 11,320,396 5,660,198 2,830,099 8,490,298 4,245,149 12,735,448 6,367,724 3,183,862 1,591,931 4,775,794 2,387,897 7,163,692 3,581,846 1,790,923 5,372,770 2,686,385 8,059,156 4,029,578 2,014,789 6,044,368 3,022,184 1,511,092 755,546

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