2,752,743

3 × 7 × 47 × 2789

Starting at 2,752,743, the Collatz iteration reaches 1 after 156 steps. The first transition is 8258230; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 2789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,285,440

Proper Divisor Sum 1,532,697

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2752733 ← → #2752787

Radix Representation

Decimal	2752743
Binary	1010100000000011100111 (22 bits)
Octal	0o12400347
Hexadecimal	0x2A00E7

Divisor Catalog (16)

1 3 7 21 47 141 329 987 2,789 8,367 19,523 58,569 131,083 393,249 917,581 2,752,743

Collatz Trajectory (156 steps to reach 1)

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

2,752,743 8,258,230 4,129,115 12,387,346 6,193,673 18,581,020 9,290,510 4,645,255 13,935,766 6,967,883 20,903,650 10,451,825 31,355,476 15,677,738 7,838,869 23,516,608 11,758,304 5,879,152 2,939,576 1,469,788 734,894 367,447 1,102,342 551,171 1,653,514 826,757 2,480,272 1,240,136 620,068 310,034 155,017 465,052 232,526 116,263 348,790 174,395 523,186 261,593 784,780 392,390 196,195 588,586 294,293 882,880 441,440 220,720 110,360 55,180 27,590 13,795 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485

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