3,848,427

3² × 11 × 38873

Starting at 3,848,427, the Collatz iteration reaches 1 after 216 steps. The first transition is 11545282; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 38873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,064,344

Proper Divisor Sum 2,215,917

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3848419 ← → #3848437

Radix Representation

Decimal	3848427
Binary	1110101011100011101011 (22 bits)
Octal	0o16534353
Hexadecimal	0x3AB8EB

Divisor Catalog (12)

1 3 9 11 33 99 38,873 116,619 349,857 427,603 1,282,809 3,848,427

Collatz Trajectory (216 steps to reach 1)

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

3,848,427 11,545,282 5,772,641 17,317,924 8,658,962 4,329,481 12,988,444 6,494,222 3,247,111 9,741,334 4,870,667 14,612,002 7,306,001 21,918,004 10,959,002 5,479,501 16,438,504 8,219,252 4,109,626 2,054,813 6,164,440 3,082,220 1,541,110 770,555 2,311,666 1,155,833 3,467,500 1,733,750 866,875 2,600,626 1,300,313 3,900,940 1,950,470 975,235 2,925,706 1,462,853 4,388,560 2,194,280 1,097,140 548,570 274,285 822,856 411,428 205,714 102,857 308,572 154,286 77,143 231,430 115,715 347,146 173,573 520,720 260,360 130,180 65,090 32,545 97,636 48,818 24,409

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