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Math Directory

9,836,180

22 × 5 × 23 × 21383
Abundant Even Composite

9,836,180 factors as 2^2 × 5 × 23 × 21383. Its 24 positive divisors give a proper-divisor sum of 11,718,892, so this integer is abundant. The Collatz stopping time is 282 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 21383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,555,072
Proper Divisor Sum 11,718,892
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9836171 ← → #9836201

Radix Representation

Decimal 9836180
Binary 100101100001011010010100 (24 bits)
Octal 0o45413224
Hexadecimal 0x961694

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (282 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.

9,836,180 4,918,090 2,459,045 7,377,136 3,688,568

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