3,946,002

2 × 3 × 479 × 1373

3,946,002 factors as 2 × 3 × 479 × 1373. Its 16 positive divisors give a proper-divisor sum of 3,968,238, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2 × 3 × 479 × 1373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,914,240

Proper Divisor Sum 3,968,238

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3945983 ← → #3946027

Radix Representation

Decimal	3946002
Binary	1111000011011000010010 (22 bits)
Octal	0o17033022
Hexadecimal	0x3C3612

Divisor Catalog (16)

1 2 3 6 479 958 1,373 1,437 2,746 2,874 4,119 8,238 657,667 1,315,334 1,973,001 3,946,002

Collatz Trajectory (291 steps to reach 1)

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

3,946,002 1,973,001 5,919,004 2,959,502 1,479,751 4,439,254 2,219,627 6,658,882 3,329,441 9,988,324 4,994,162 2,497,081 7,491,244 3,745,622 1,872,811 5,618,434 2,809,217 8,427,652 4,213,826 2,106,913 6,320,740 3,160,370 1,580,185 4,740,556 2,370,278 1,185,139 3,555,418 1,777,709 5,333,128 2,666,564 1,333,282 666,641 1,999,924 999,962 499,981 1,499,944 749,972 374,986 187,493 562,480 281,240 140,620 70,310 35,155 105,466 52,733 158,200 79,100 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173

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