3,889,264

2⁴ × 43 × 5653

Starting at 3,889,264, the Collatz iteration reaches 1 after 141 steps. The first transition is 1944632; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 43 × 5653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,712,056

Proper Divisor Sum 3,822,792

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3889261 ← → #3889279

Radix Representation

Decimal	3889264
Binary	1110110101100001110000 (22 bits)
Octal	0o16654160
Hexadecimal	0x3B5870

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 5,653 11,306 22,612 45,224 90,448 243,079 486,158 972,316 1,944,632 3,889,264

Collatz Trajectory (141 steps to reach 1)

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

3,889,264 1,944,632 972,316 486,158 243,079 729,238 364,619 1,093,858 546,929 1,640,788 820,394 410,197 1,230,592 615,296 307,648 153,824 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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