3,911,344

2⁴ × 37 × 6607

Starting at 3,911,344, the Collatz iteration reaches 1 after 198 steps. The first transition is 1955672; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 37 × 6607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,784,224

Proper Divisor Sum 3,872,880

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3911339 ← → #3911351

Radix Representation

Decimal	3911344
Binary	1110111010111010110000 (22 bits)
Octal	0o16727260
Hexadecimal	0x3BAEB0

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 6,607 13,214 26,428 52,856 105,712 244,459 488,918 977,836 1,955,672 3,911,344

Collatz Trajectory (198 steps to reach 1)

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

3,911,344 1,955,672 977,836 488,918 244,459 733,378 366,689 1,100,068 550,034 275,017 825,052 412,526 206,263 618,790 309,395 928,186 464,093 1,392,280 696,140 348,070 174,035 522,106 261,053 783,160 391,580 195,790 97,895 293,686 146,843 440,530 220,265 660,796 330,398 165,199 495,598 247,799 743,398 371,699 1,115,098 557,549 1,672,648 836,324 418,162 209,081 627,244 313,622 156,811 470,434 235,217 705,652 352,826 176,413 529,240 264,620 132,310 66,155 198,466 99,233 297,700 148,850

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