λ
Match Zalai

9,829,380

22 × 3 × 5 × 11 × 53 × 281
Abundant Even Composite

9,829,380 factors as 2^2 × 3 × 5 × 11 × 53 × 281. Its 96 positive divisors give a proper-divisor sum of 20,870,268, so this integer is abundant. The Collatz stopping time is 88 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 53 × 281
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 30,699,648
Proper Divisor Sum 20,870,268
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9829373 ← → #9829399

Radix Representation

Decimal 9829380
Binary 100101011111110000000100 (24 bits)
Octal 0o45376004
Hexadecimal 0x95FC04

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (88 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.

9,829,380 4,914,690 2,457,345 7,372,036 3,686,018

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