λ
Match Zalai

9,585,760

25 × 5 × 181 × 331
Abundant Even Composite

9,585,760 factors as 2^5 × 5 × 181 × 331. Its 48 positive divisors give a proper-divisor sum of 13,254,512, so this integer is abundant. The Collatz stopping time is 57 steps.

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Prime Factor Structure

Factorization String 2^5 × 5 × 181 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,840,272
Proper Divisor Sum 13,254,512
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9585743 ← → #9585761

Radix Representation

Decimal 9585760
Binary 100100100100010001100000 (24 bits)
Octal 0o44442140
Hexadecimal 0x924460

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (57 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.

9,585,760 4,792,880 2,396,440 1,198,220 599,110

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