λ
Match Zalai

9,154,772

22 × 11 × 17 × 12239
Abundant Even Composite

9,154,772 factors as 2^2 × 11 × 17 × 12239. Its 24 positive divisors give a proper-divisor sum of 9,352,108, so this integer is abundant. The Collatz stopping time is 132 steps.

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Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 12239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,506,880
Proper Divisor Sum 9,352,108
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9154771 ← → #9154777

Radix Representation

Decimal 9154772
Binary 100010111011000011010100 (24 bits)
Octal 0o42730324
Hexadecimal 0x8BB0D4

Divisor Catalog (5 of 24)

1 2 4 11 17

Collatz Trajectory (132 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.

9,154,772 4,577,386 2,288,693 6,866,080 3,433,040

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