3,853,724

2² × 7 × 137633

Starting at 3,853,724, the Collatz iteration reaches 1 after 128 steps. The first transition is 1926862; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 137633

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,707,504

Proper Divisor Sum 3,853,780

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3853711 ← → #3853727

Radix Representation

Decimal	3853724
Binary	1110101100110110011100 (22 bits)
Octal	0o16546634
Hexadecimal	0x3ACD9C

Divisor Catalog (12)

1 2 4 7 14 28 137,633 275,266 550,532 963,431 1,926,862 3,853,724

Collatz Trajectory (128 steps to reach 1)

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

3,853,724 1,926,862 963,431 2,890,294 1,445,147 4,335,442 2,167,721 6,503,164 3,251,582 1,625,791 4,877,374 2,438,687 7,316,062 3,658,031 10,974,094 5,487,047 16,461,142 8,230,571 24,691,714 12,345,857 37,037,572 18,518,786 9,259,393 27,778,180 13,889,090 6,944,545 20,833,636 10,416,818 5,208,409 15,625,228 7,812,614 3,906,307 11,718,922 5,859,461 17,578,384 8,789,192 4,394,596 2,197,298 1,098,649 3,295,948 1,647,974 823,987 2,471,962 1,235,981 3,707,944 1,853,972 926,986 463,493 1,390,480 695,240 347,620 173,810 86,905 260,716 130,358 65,179 195,538 97,769 293,308 146,654

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