3,852,095

5 × 13 × 59263

Starting at 3,852,095, the Collatz iteration reaches 1 after 97 steps. The first transition is 11556286; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 59263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,978,176

Proper Divisor Sum 1,126,081

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3852083 ← → #3852103

Radix Representation

Decimal	3852095
Binary	1110101100011100111111 (22 bits)
Octal	0o16543477
Hexadecimal	0x3AC73F

Divisor Catalog (8)

1 5 13 65 59,263 296,315 770,419 3,852,095

Collatz Trajectory (97 steps to reach 1)

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

3,852,095 11,556,286 5,778,143 17,334,430 8,667,215 26,001,646 13,000,823 39,002,470 19,501,235 58,503,706 29,251,853 87,755,560 43,877,780 21,938,890 10,969,445 32,908,336 16,454,168 8,227,084 4,113,542 2,056,771 6,170,314 3,085,157 9,255,472 4,627,736 2,313,868 1,156,934 578,467 1,735,402 867,701 2,603,104 1,301,552 650,776 325,388 162,694 81,347 244,042 122,021 366,064 183,032 91,516 45,758 22,879 68,638 34,319 102,958 51,479 154,438 77,219 231,658 115,829 347,488 173,744 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434

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