λ
Match Zalai

9,730,056

23 × 3 × 7 × 57917
Abundant Even Composite

9,730,056 factors as 2^3 × 3 × 7 × 57917. Its 32 positive divisors give a proper-divisor sum of 18,070,584, so this integer is abundant. The Collatz stopping time is 163 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 57917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,800,640
Proper Divisor Sum 18,070,584
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9730043 ← → #9730087

Radix Representation

Decimal 9730056
Binary 100101000111100000001000 (24 bits)
Octal 0o45074010
Hexadecimal 0x947808

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (163 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.

9,730,056 4,865,028 2,432,514 1,216,257 3,648,772

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