λ
Harmonic Matrix

7,125,204

22 × 3 × 593767
Abundant Even Composite

7,125,204 has digital root 3. The neighboring primes are 7125203 and 7125263; its proper-divisor sum differs from the starting integer by 2,375,096.

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Prime Factor Structure

Factorization String 2^2 × 3 × 593767
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,625,504
Proper Divisor Sum 9,500,300
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7125203 ← → #7125263

Radix Representation

Decimal 7125204
Binary 11011001011100011010100 (23 bits)
Octal 0o33134324
Hexadecimal 0x6CB8D4

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (67 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.

7,125,204 3,562,602 1,781,301 5,343,904 2,671,952

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