3,848,902

2 × 17² × 6659

Starting at 3,848,902, the Collatz iteration reaches 1 after 216 steps. The first transition is 1924451; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 17^2 × 6659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,133,860

Proper Divisor Sum 2,284,958

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3848891 ← → #3848903

Radix Representation

Decimal	3848902
Binary	1110101011101011000110 (22 bits)
Octal	0o16535306
Hexadecimal	0x3ABAC6

Divisor Catalog (12)

1 2 17 34 289 578 6,659 13,318 113,203 226,406 1,924,451 3,848,902

Collatz Trajectory (216 steps to reach 1)

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

3,848,902 1,924,451 5,773,354 2,886,677 8,660,032 4,330,016 2,165,008 1,082,504 541,252 270,626 135,313 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172 57,086 28,543 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070

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