3,950,706

2 × 3 × 113 × 5827

3,950,706 factors as 2 × 3 × 113 × 5827. Its 16 positive divisors give a proper-divisor sum of 4,021,998, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 5827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,972,704

Proper Divisor Sum 4,021,998

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3950701 ← → #3950731

Radix Representation

Decimal	3950706
Binary	1111000100100001110010 (22 bits)
Octal	0o17044162
Hexadecimal	0x3C4872

Divisor Catalog (16)

1 2 3 6 113 226 339 678 5,827 11,654 17,481 34,962 658,451 1,316,902 1,975,353 3,950,706

Collatz Trajectory (185 steps to reach 1)

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

3,950,706 1,975,353 5,926,060 2,963,030 1,481,515 4,444,546 2,222,273 6,666,820 3,333,410 1,666,705 5,000,116 2,500,058 1,250,029 3,750,088 1,875,044 937,522 468,761 1,406,284 703,142 351,571 1,054,714 527,357 1,582,072 791,036 395,518 197,759 593,278 296,639 889,918 444,959 1,334,878 667,439 2,002,318 1,001,159 3,003,478 1,501,739 4,505,218 2,252,609 6,757,828 3,378,914 1,689,457 5,068,372 2,534,186 1,267,093 3,801,280 1,900,640 950,320 475,160 237,580 118,790 59,395 178,186 89,093 267,280 133,640 66,820 33,410 16,705 50,116 25,058

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