8,993,721

3 × 11 × 272537

Starting at 8,993,721, the Collatz iteration reaches 1 after 212 steps. The first transition is 26981164; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 272537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,081,824

Proper Divisor Sum 4,088,103

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8993693 ← → #8993723

Radix Representation

Decimal	8993721
Binary	100010010011101110111001 (24 bits)
Octal	0o42235671
Hexadecimal	0x893BB9

Divisor Catalog (8)

1 3 11 33 272,537 817,611 2,997,907 8,993,721

Collatz Trajectory (212 steps to reach 1)

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

8,993,721 26,981,164 13,490,582 6,745,291 20,235,874 10,117,937 30,353,812 15,176,906 7,588,453 22,765,360 11,382,680 5,691,340 2,845,670 1,422,835 4,268,506 2,134,253 6,402,760 3,201,380 1,600,690 800,345 2,401,036 1,200,518 600,259 1,800,778 900,389 2,701,168 1,350,584 675,292 337,646 168,823 506,470 253,235 759,706 379,853 1,139,560 569,780 284,890 142,445 427,336 213,668 106,834 53,417 160,252 80,126 40,063 120,190 60,095 180,286 90,143 270,430 135,215 405,646 202,823 608,470 304,235 912,706 456,353 1,369,060 684,530 342,265

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