λ
Harmonic Matrix

3,986,000

24 × 53 × 1993
Abundant Even Composite

3,986,000 has digital root 8. The neighboring primes are 3985999 and 3986009; its proper-divisor sum differs from the starting integer by 1,670,984.

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Prime Factor Structure

Factorization String 2^4 × 5^3 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,642,984
Proper Divisor Sum 5,656,984
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3985999 ← → #3986009

Radix Representation

Decimal 3986000
Binary 1111001101001001010000 (22 bits)
Octal 0o17151120
Hexadecimal 0x3CD250

Divisor Catalog (5 of 40)

1 2 4 5 8

Collatz Trajectory (229 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.

3,986,000 1,993,000 996,500 498,250 249,125

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