9,284,841

3³ × 31 × 11093

Starting at 9,284,841, the Collatz iteration reaches 1 after 225 steps. The first transition is 27854524; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 31 × 11093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,200,320

Proper Divisor Sum 4,915,479

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9284833 ← → #9284851

Radix Representation

Decimal	9284841
Binary	100011011010110011101001 (24 bits)
Octal	0o43326351
Hexadecimal	0x8DACE9

Divisor Catalog (16)

1 3 9 27 31 93 279 837 11,093 33,279 99,837 299,511 343,883 1,031,649 3,094,947 9,284,841

Collatz Trajectory (225 steps to reach 1)

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

9,284,841 27,854,524 13,927,262 6,963,631 20,890,894 10,445,447 31,336,342 15,668,171 47,004,514 23,502,257 70,506,772 35,253,386 17,626,693 52,880,080 26,440,040 13,220,020 6,610,010 3,305,005 9,915,016 4,957,508 2,478,754 1,239,377 3,718,132 1,859,066 929,533 2,788,600 1,394,300 697,150 348,575 1,045,726 522,863 1,568,590 784,295 2,352,886 1,176,443 3,529,330 1,764,665 5,293,996 2,646,998 1,323,499 3,970,498 1,985,249 5,955,748 2,977,874 1,488,937 4,466,812 2,233,406 1,116,703 3,350,110 1,675,055 5,025,166 2,512,583 7,537,750 3,768,875 11,306,626 5,653,313 16,959,940 8,479,970 4,239,985 12,719,956

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