4,349,344

2⁵ × 199 × 683

Starting at 4,349,344, the Collatz iteration reaches 1 after 211 steps. The first transition is 2174672; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 199 × 683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,618,400

Proper Divisor Sum 4,269,056

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4349311 ← → #4349353

Radix Representation

Decimal	4349344
Binary	10000100101110110100000 (23 bits)
Octal	0o20456640
Hexadecimal	0x425DA0

Divisor Catalog (24)

1 2 4 8 16 32 199 398 683 796 1,366 1,592 2,732 3,184 5,464 6,368 10,928 21,856 135,917 271,834 543,668 1,087,336 2,174,672 4,349,344

Collatz Trajectory (211 steps to reach 1)

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

4,349,344 2,174,672 1,087,336 543,668 271,834 135,917 407,752 203,876 101,938 50,969 152,908 76,454 38,227 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150 72,575 217,726 108,863 326,590 163,295 489,886 244,943 734,830 367,415 1,102,246 551,123 1,653,370 826,685 2,480,056 1,240,028 620,014 310,007 930,022 465,011 1,395,034 697,517 2,092,552 1,046,276 523,138 261,569 784,708 392,354 196,177 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526

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