λ
Prime Ledger

9,983,840

25 × 5 × 23 × 2713
Abundant Even Composite

9,983,840 has the prime decomposition 2^5 × 5 × 23 × 2713. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 5 × 23 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,621,408
Proper Divisor Sum 14,637,568
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9983839 ← → #9983867

Radix Representation

Decimal 9983840
Binary 100110000101011101100000 (24 bits)
Octal 0o46053540
Hexadecimal 0x985760

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (176 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.

9,983,840 4,991,920 2,495,960 1,247,980 623,990

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