3,842,344

2³ × 11 × 47 × 929

Starting at 3,842,344, the Collatz iteration reaches 1 after 123 steps. The first transition is 1921172; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 47 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,035,200

Proper Divisor Sum 4,192,856

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3842327 ← → #3842353

Radix Representation

Decimal	3842344
Binary	1110101010000100101000 (22 bits)
Octal	0o16520450
Hexadecimal	0x3AA128

Divisor Catalog (32)

1 2 4 8 11 22 44 47 88 94 188 376 517 929 1,034 1,858 2,068 3,716 4,136 7,432 10,219 20,438 40,876 43,663 81,752 87,326 174,652 349,304 480,293 960,586 1,921,172 3,842,344

Collatz Trajectory (123 steps to reach 1)

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

3,842,344 1,921,172 960,586 480,293 1,440,880 720,440 360,220 180,110 90,055 270,166 135,083 405,250 202,625 607,876 303,938 151,969 455,908 227,954 113,977 341,932 170,966 85,483 256,450 128,225 384,676 192,338 96,169 288,508 144,254 72,127 216,382 108,191 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634 1,039,817 3,119,452 1,559,726 779,863 2,339,590 1,169,795 3,509,386 1,754,693 5,264,080

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