9,084,845

5 × 7² × 11 × 3371

Starting at 9,084,845, the Collatz iteration reaches 1 after 194 steps. The first transition is 27254536; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 3371

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,838,688

Proper Divisor Sum 4,753,843

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9084833 ← → #9084857

Radix Representation

Decimal	9084845
Binary	100010101001111110101101 (24 bits)
Octal	0o42517655
Hexadecimal	0x8A9FAD

Divisor Catalog (24)

1 5 7 11 35 49 55 77 245 385 539 2,695 3,371 16,855 23,597 37,081 117,985 165,179 185,405 259,567 825,895 1,297,835 1,816,969 9,084,845

Collatz Trajectory (194 steps to reach 1)

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

9,084,845 27,254,536 13,627,268 6,813,634 3,406,817 10,220,452 5,110,226 2,555,113 7,665,340 3,832,670 1,916,335 5,749,006 2,874,503 8,623,510 4,311,755 12,935,266 6,467,633 19,402,900 9,701,450 4,850,725 14,552,176 7,276,088 3,638,044 1,819,022 909,511 2,728,534 1,364,267 4,092,802 2,046,401 6,139,204 3,069,602 1,534,801 4,604,404 2,302,202 1,151,101 3,453,304 1,726,652 863,326 431,663 1,294,990 647,495 1,942,486 971,243 2,913,730 1,456,865 4,370,596 2,185,298 1,092,649 3,277,948 1,638,974 819,487 2,458,462 1,229,231 3,687,694 1,843,847 5,531,542 2,765,771 8,297,314 4,148,657 12,445,972

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