3,847,336

2³ × 181 × 2657

Starting at 3,847,336, the Collatz iteration reaches 1 after 71 steps. The first transition is 1923668; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 181 × 2657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,256,340

Proper Divisor Sum 3,409,004

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3847309 ← → #3847351

Radix Representation

Decimal	3847336
Binary	1110101011010010101000 (22 bits)
Octal	0o16532250
Hexadecimal	0x3AB4A8

Divisor Catalog (16)

1 2 4 8 181 362 724 1,448 2,657 5,314 10,628 21,256 480,917 961,834 1,923,668 3,847,336

Collatz Trajectory (71 steps to reach 1)

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

3,847,336 1,923,668 961,834 480,917 1,442,752 721,376 360,688 180,344 90,172 45,086 22,543 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682

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