3,991,752

2³ × 3² × 55441

Starting at 3,991,752, the Collatz iteration reaches 1 after 115 steps. The first transition is 1995876; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 55441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,811,190

Proper Divisor Sum 6,819,438

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3991751 ← → #3991807

Radix Representation

Decimal	3991752
Binary	1111001110100011001000 (22 bits)
Octal	0o17164310
Hexadecimal	0x3CE8C8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 55,441 110,882 166,323 221,764 332,646 443,528 498,969 665,292 997,938 1,330,584 1,995,876 3,991,752

Collatz Trajectory (115 steps to reach 1)

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

3,991,752 1,995,876 997,938 498,969 1,496,908 748,454 374,227 1,122,682 561,341 1,684,024 842,012 421,006 210,503 631,510 315,755 947,266 473,633 1,420,900 710,450 355,225 1,065,676 532,838 266,419 799,258 399,629 1,198,888 599,444 299,722 149,861 449,584 224,792 112,396 56,198 28,099 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324

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