3,973,212

2² × 3⁴ × 12263

Starting at 3,973,212, the Collatz iteration reaches 1 after 92 steps. The first transition is 1986606; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 12263

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 10,387,608

Proper Divisor Sum 6,414,396

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3973183 ← → #3973213

Radix Representation

Decimal	3973212
Binary	1111001010000001011100 (22 bits)
Octal	0o17120134
Hexadecimal	0x3CA05C

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12,263 24,526 36,789 49,052 73,578 110,367 147,156 220,734 331,101 441,468 662,202 993,303 1,324,404 1,986,606 3,973,212

Collatz Trajectory (92 steps to reach 1)

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

3,973,212 1,986,606 993,303 2,979,910 1,489,955 4,469,866 2,234,933 6,704,800 3,352,400 1,676,200 838,100 419,050 209,525 628,576 314,288 157,144 78,572 39,286 19,643 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202

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