3,948,006

2 × 3 × 658001

3,948,006 has digital root 3. The neighboring primes are 3947987 and 3948071; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 658001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,896,024

Proper Divisor Sum 3,948,018

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3947987 ← → #3948071

Radix Representation

Decimal	3948006
Binary	1111000011110111100110 (22 bits)
Octal	0o17036746
Hexadecimal	0x3C3DE6

Divisor Catalog (8)

1 2 3 6 658,001 1,316,002 1,974,003 3,948,006

Collatz Trajectory (123 steps to reach 1)

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

3,948,006 1,974,003 5,922,010 2,961,005 8,883,016 4,441,508 2,220,754 1,110,377 3,331,132 1,665,566 832,783 2,498,350 1,249,175 3,747,526 1,873,763 5,621,290 2,810,645 8,431,936 4,215,968 2,107,984 1,053,992 526,996 263,498 131,749 395,248 197,624 98,812 49,406 24,703 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042

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