3,338,532

2² × 3² × 92737

3,338,532 factors as 2^2 × 3^2 × 92737. Its 18 positive divisors give a proper-divisor sum of 5,100,626, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 92737

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,439,158

Proper Divisor Sum 5,100,626

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3338527 ← → #3338537

Radix Representation

Decimal	3338532
Binary	1100101111000100100100 (22 bits)
Octal	0o14570444
Hexadecimal	0x32F124

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 92,737 185,474 278,211 370,948 556,422 834,633 1,112,844 1,669,266 3,338,532

Collatz Trajectory (177 steps to reach 1)

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

3,338,532 1,669,266 834,633 2,503,900 1,251,950 625,975 1,877,926 938,963 2,816,890 1,408,445 4,225,336 2,112,668 1,056,334 528,167 1,584,502 792,251 2,376,754 1,188,377 3,565,132 1,782,566 891,283 2,673,850 1,336,925 4,010,776 2,005,388 1,002,694 501,347 1,504,042 752,021 2,256,064 1,128,032 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589

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