3,889,638

2 × 3² × 216091

Starting at 3,889,638, the Collatz iteration reaches 1 after 172 steps. The first transition is 1944819; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 216091

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,427,588

Proper Divisor Sum 4,537,950

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3889631 ← → #3889649

Radix Representation

Decimal	3889638
Binary	1110110101100111100110 (22 bits)
Octal	0o16654746
Hexadecimal	0x3B59E6

Divisor Catalog (12)

1 2 3 6 9 18 216,091 432,182 648,273 1,296,546 1,944,819 3,889,638

Collatz Trajectory (172 steps to reach 1)

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

3,889,638 1,944,819 5,834,458 2,917,229 8,751,688 4,375,844 2,187,922 1,093,961 3,281,884 1,640,942 820,471 2,461,414 1,230,707 3,692,122 1,846,061 5,538,184 2,769,092 1,384,546 692,273 2,076,820 1,038,410 519,205 1,557,616 778,808 389,404 194,702 97,351 292,054 146,027 438,082 219,041 657,124 328,562 164,281 492,844 246,422 123,211 369,634 184,817 554,452 277,226 138,613 415,840 207,920 103,960 51,980 25,990 12,995 38,986 19,493 58,480 29,240 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676

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