7,338,870

2 × 3³ × 5 × 7 × 11 × 353

Starting at 7,338,870, the Collatz iteration reaches 1 after 235 steps. The first transition is 3669435; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 11 × 353

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 24,468,480

Proper Divisor Sum 17,129,610

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7338869 ← → #7338871

Radix Representation

Decimal	7338870
Binary	11011111111101101110110 (23 bits)
Octal	0o33775566
Hexadecimal	0x6FFB76

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 353 378 385 462 495 594 630 693 706 770 945 990 1,059 1,155 1,386 1,485 1,765 1,890

Collatz Trajectory (235 steps to reach 1)

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

7,338,870 3,669,435 11,008,306 5,504,153 16,512,460 8,256,230 4,128,115 12,384,346 6,192,173 18,576,520 9,288,260 4,644,130 2,322,065 6,966,196 3,483,098 1,741,549 5,224,648 2,612,324 1,306,162 653,081 1,959,244 979,622 489,811 1,469,434 734,717 2,204,152 1,102,076 551,038 275,519 826,558 413,279 1,239,838 619,919 1,859,758 929,879 2,789,638 1,394,819 4,184,458 2,092,229 6,276,688 3,138,344 1,569,172 784,586 392,293 1,176,880 588,440 294,220 147,110 73,555 220,666 110,333 331,000 165,500 82,750 41,375 124,126 62,063 186,190 93,095 279,286

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