3,963,638

2 × 7 × 283117

3,963,638 factors as 2 × 7 × 283117. Its 8 positive divisors give a proper-divisor sum of 2,831,194, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 7 × 283117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,794,832

Proper Divisor Sum 2,831,194

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3963637 ← → #3963643

Radix Representation

Decimal	3963638
Binary	1111000111101011110110 (22 bits)
Octal	0o17075366
Hexadecimal	0x3C7AF6

Divisor Catalog (8)

1 2 7 14 283,117 566,234 1,981,819 3,963,638

Collatz Trajectory (167 steps to reach 1)

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

3,963,638 1,981,819 5,945,458 2,972,729 8,918,188 4,459,094 2,229,547 6,688,642 3,344,321 10,032,964 5,016,482 2,508,241 7,524,724 3,762,362 1,881,181 5,643,544 2,821,772 1,410,886 705,443 2,116,330 1,058,165 3,174,496 1,587,248 793,624 396,812 198,406 99,203 297,610 148,805 446,416 223,208 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144

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