λ
Match Zalai

9,211,815

32 × 5 × 204707
Deficient Odd Composite

9,211,815 factors as 3^2 × 5 × 204707. Its 12 positive divisors give a proper-divisor sum of 6,755,409, so this integer is deficient. The Collatz stopping time is 225 steps.

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Prime Factor Structure

Factorization String 3^2 × 5 × 204707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,967,224
Proper Divisor Sum 6,755,409
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9211781 ← → #9211823

Radix Representation

Decimal 9211815
Binary 100011001000111110100111 (24 bits)
Octal 0o43107647
Hexadecimal 0x8C8FA7

Divisor Catalog (5 of 12)

1 3 5 9 15

Collatz Trajectory (225 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.

9,211,815 27,635,446 13,817,723 41,453,170 20,726,585

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