λ
Sequence Observatory

9,001,233

33 × 43 × 7753
Deficient Odd Composite

Starting at 9,001,233, the Collatz iteration reaches 1 after 119 steps. The first transition is 27003700; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 43 × 7753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,647,040
Proper Divisor Sum 4,645,807
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9001229 ← → #9001243

Radix Representation

Decimal 9001233
Binary 100010010101100100010001 (24 bits)
Octal 0o42254421
Hexadecimal 0x895911

Divisor Catalog (16)

1 3 9 27 43 129 387 1,161 7,753 23,259 69,777 209,331 333,379 1,000,137 3,000,411 9,001,233

Collatz Trajectory (119 steps to reach 1)

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

9,001,233 27,003,700 13,501,850 6,750,925 20,252,776 10,126,388 5,063,194 2,531,597 7,594,792 3,797,396 1,898,698 949,349 2,848,048 1,424,024 712,012 356,006 178,003 534,010 267,005 801,016 400,508 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095

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