3,865,800

2³ × 3 × 5² × 17 × 379

Starting at 3,865,800, the Collatz iteration reaches 1 after 48 steps. The first transition is 1932900; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 17 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,722,400

Proper Divisor Sum 8,856,600

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3865777 ← → #3865801

Radix Representation

Decimal	3865800
Binary	1110101111110011001000 (22 bits)
Octal	0o16576310
Hexadecimal	0x3AFCC8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 379 408 425 510 600 680 758 850 1,020 1,137 1,275 1,516 1,700 1,895 2,040 2,274 2,550 3,032 3,400 3,790 4,548 5,100 5,685 6,443 7,580 9,096

Collatz Trajectory (48 steps to reach 1)

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

3,865,800 1,932,900 966,450 483,225 1,449,676 724,838 362,419 1,087,258 543,629 1,630,888 815,444 407,722 203,861 611,584 305,792 152,896 76,448 38,224 19,112 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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