3,944,946

2 × 3 × 657491

3,944,946 factors as 2 × 3 × 657491. Its 8 positive divisors give a proper-divisor sum of 3,944,958, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3 × 657491

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,889,904

Proper Divisor Sum 3,944,958

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3944933 ← → #3944953

Radix Representation

Decimal	3944946
Binary	1111000011000111110010 (22 bits)
Octal	0o17030762
Hexadecimal	0x3C31F2

Divisor Catalog (8)

1 2 3 6 657,491 1,314,982 1,972,473 3,944,946

Collatz Trajectory (172 steps to reach 1)

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

3,944,946 1,972,473 5,917,420 2,958,710 1,479,355 4,438,066 2,219,033 6,657,100 3,328,550 1,664,275 4,992,826 2,496,413 7,489,240 3,744,620 1,872,310 936,155 2,808,466 1,404,233 4,212,700 2,106,350 1,053,175 3,159,526 1,579,763 4,739,290 2,369,645 7,108,936 3,554,468 1,777,234 888,617 2,665,852 1,332,926 666,463 1,999,390 999,695 2,999,086 1,499,543 4,498,630 2,249,315 6,747,946 3,373,973 10,121,920 5,060,960 2,530,480 1,265,240 632,620 316,310 158,155 474,466 237,233 711,700 355,850 177,925 533,776 266,888 133,444 66,722 33,361 100,084 50,042 25,021

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