λ
Prime Ledger

9,985,144

23 × 13 × 67 × 1433
Abundant Even Composite

9,985,144 has the prime decomposition 2^3 × 13 × 67 × 1433. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 13 × 67 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,477,520
Proper Divisor Sum 10,492,376
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9985139 ← → #9985169

Radix Representation

Decimal 9985144
Binary 100110000101110001111000 (24 bits)
Octal 0o46056170
Hexadecimal 0x985C78

Divisor Catalog (5 of 32)

1 2 4 8 13

Collatz Trajectory (137 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.

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