λ
Harmonic Matrix

6,004,124

22 × 7 × 214433
Abundant Even Composite

6,004,124 has digital root 8. The neighboring primes are 6004121 and 6004139; its proper-divisor sum differs from the starting integer by 56.

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Prime Factor Structure

Factorization String 2^2 × 7 × 214433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,008,304
Proper Divisor Sum 6,004,180
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6004121 ← → #6004139

Radix Representation

Decimal 6004124
Binary 10110111001110110011100 (23 bits)
Octal 0o26716634
Hexadecimal 0x5B9D9C

Divisor Catalog (5 of 12)

1 2 4 7 14

Collatz Trajectory (113 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.

6,004,124 3,002,062 1,501,031 4,503,094 2,251,547

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