λ
Harmonic Matrix

9,841,872

24 × 3 × 379 × 541
Abundant Even Composite

9,841,872 has digital root 3. The neighboring primes are 9841841 and 9841877; its proper-divisor sum differs from the starting integer by 5,855,296.

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Prime Factor Structure

Factorization String 2^4 × 3 × 379 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,539,040
Proper Divisor Sum 15,697,168
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9841841 ← → #9841877

Radix Representation

Decimal 9841872
Binary 100101100010110011010000 (24 bits)
Octal 0o45426320
Hexadecimal 0x962CD0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (207 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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