λ
Match Zalai

9,009,286

2 × 11 × 13 × 172 × 109
Deficient Even Composite

9,009,286 factors as 2 × 11 × 13 × 17^2 × 109. Its 48 positive divisors give a proper-divisor sum of 8,010,794, so this integer is deficient. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 2 × 11 × 13 × 17^2 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,020,080
Proper Divisor Sum 8,010,794
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9009281 ← → #9009331

Radix Representation

Decimal 9009286
Binary 100010010111100010000110 (24 bits)
Octal 0o42274206
Hexadecimal 0x897886

Divisor Catalog (5 of 48)

1 2 11 13 17

Collatz Trajectory (111 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

9,009,286 4,504,643 13,513,930 6,756,965 20,270,896

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