λ
Harmonic Matrix

6,872,348

22 × 73 × 5009
Abundant Even Composite

6,872,348 has digital root 2. The neighboring primes are 6872329 and 6872363; its proper-divisor sum differs from the starting integer by 283,304.

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Prime Factor Structure

Factorization String 2^2 × 7^3 × 5009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,028,000
Proper Divisor Sum 7,155,652
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6872329 ← → #6872363

Radix Representation

Decimal 6872348
Binary 11010001101110100011100 (23 bits)
Octal 0o32156434
Hexadecimal 0x68DD1C

Divisor Catalog (5 of 24)

1 2 4 7 14

Collatz Trajectory (222 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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