λ
Match Zalai

9,407,860

22 × 5 × 7 × 11 × 41 × 149
Abundant Even Composite

9,407,860 factors as 2^2 × 5 × 7 × 11 × 41 × 149. Its 96 positive divisors give a proper-divisor sum of 15,993,740, so this integer is abundant. The Collatz stopping time is 269 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 41 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 15,993,740
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9407843 ← → #9407891

Radix Representation

Decimal 9407860
Binary 100011111000110101110100 (24 bits)
Octal 0o43706564
Hexadecimal 0x8F8D74

Divisor Catalog (5 of 96)

1 2 4 5 7

Collatz Trajectory (269 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.

9,407,860 4,703,930 2,351,965 7,055,896 3,527,948

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