3,928,612

2² × 67 × 107 × 137

3,928,612 factors as 2^2 × 67 × 107 × 137. Its 24 positive divisors give a proper-divisor sum of 3,165,692, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 107 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,094,304

Proper Divisor Sum 3,165,692

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3928577 ← → #3928619

Radix Representation

Decimal	3928612
Binary	1110111111001000100100 (22 bits)
Octal	0o16771044
Hexadecimal	0x3BF224

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

3,928,612 1,964,306 982,153 2,946,460 1,473,230 736,615 2,209,846 1,104,923 3,314,770 1,657,385 4,972,156 2,486,078 1,243,039 3,729,118 1,864,559 5,593,678 2,796,839 8,390,518 4,195,259 12,585,778 6,292,889 18,878,668 9,439,334 4,719,667 14,159,002 7,079,501 21,238,504 10,619,252 5,309,626 2,654,813 7,964,440 3,982,220 1,991,110 995,555 2,986,666 1,493,333 4,480,000 2,240,000 1,120,000 560,000 280,000 140,000 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156

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