3,738,220

2² × 5 × 311 × 601

3,738,220 factors as 2^2 × 5 × 311 × 601. Its 24 positive divisors give a proper-divisor sum of 4,150,388, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 311 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,888,608

Proper Divisor Sum 4,150,388

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3738211 ← → #3738223

Radix Representation

Decimal	3738220
Binary	1110010000101001101100 (22 bits)
Octal	0o16205154
Hexadecimal	0x390A6C

Divisor Catalog (24)

Collatz Trajectory (133 steps to reach 1)

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

3,738,220 1,869,110 934,555 2,803,666 1,401,833 4,205,500 2,102,750 1,051,375 3,154,126 1,577,063 4,731,190 2,365,595 7,096,786 3,548,393 10,645,180 5,322,590 2,661,295 7,983,886 3,991,943 11,975,830 5,987,915 17,963,746 8,981,873 26,945,620 13,472,810 6,736,405 20,209,216 10,104,608 5,052,304 2,526,152 1,263,076 631,538 315,769 947,308 473,654 236,827 710,482 355,241 1,065,724 532,862 266,431 799,294 399,647 1,198,942 599,471 1,798,414 899,207 2,697,622 1,348,811 4,046,434 2,023,217 6,069,652 3,034,826 1,517,413 4,552,240 2,276,120 1,138,060 569,030 284,515 853,546

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