3,968,046

2 × 3² × 220447

3,968,046 factors as 2 × 3^2 × 220447. Its 12 positive divisors give a proper-divisor sum of 4,629,426, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 220447

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,597,472

Proper Divisor Sum 4,629,426

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3968023 ← → #3968047

Radix Representation

Decimal	3968046
Binary	1111001000110000101110 (22 bits)
Octal	0o17106056
Hexadecimal	0x3C8C2E

Divisor Catalog (12)

1 2 3 6 9 18 220,447 440,894 661,341 1,322,682 1,984,023 3,968,046

Collatz Trajectory (123 steps to reach 1)

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

3,968,046 1,984,023 5,952,070 2,976,035 8,928,106 4,464,053 13,392,160 6,696,080 3,348,040 1,674,020 837,010 418,505 1,255,516 627,758 313,879 941,638 470,819 1,412,458 706,229 2,118,688 1,059,344 529,672 264,836 132,418 66,209 198,628 99,314 49,657 148,972 74,486 37,243 111,730 55,865 167,596 83,798 41,899 125,698 62,849 188,548 94,274 47,137 141,412 70,706 35,353 106,060 53,030 26,515 79,546 39,773 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195

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