λ
Sequence Observatory

9,006,897

3 × 797 × 3767
Deficient Odd Composite

Starting at 9,006,897, the Collatz iteration reaches 1 after 137 steps. The first transition is 27020692; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 797 × 3767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,027,456
Proper Divisor Sum 3,020,559
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9006883 ← → #9006919

Radix Representation

Decimal 9006897
Binary 100010010110111100110001 (24 bits)
Octal 0o42267461
Hexadecimal 0x896F31

Divisor Catalog (8)

1 3 797 2,391 3,767 11,301 3,002,299 9,006,897

Collatz Trajectory (137 steps to reach 1)

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

9,006,897 27,020,692 13,510,346 6,755,173 20,265,520 10,132,760 5,066,380 2,533,190 1,266,595 3,799,786 1,899,893 5,699,680 2,849,840 1,424,920 712,460 356,230 178,115 534,346 267,173 801,520 400,760 200,380 100,190 50,095 150,286 75,143 225,430 112,715 338,146 169,073 507,220 253,610 126,805 380,416 190,208 95,104 47,552 23,776 11,888 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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