λ
Harmonic Matrix

7,125,842

2 × 911 × 3911
Deficient Even Composite

7,125,842 has digital root 2. The neighboring primes are 7125829 and 7125847; its proper-divisor sum differs from the starting integer by -3,548,452.

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Prime Factor Structure

Factorization String 2 × 911 × 3911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,703,232
Proper Divisor Sum 3,577,390
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7125829 ← → #7125847

Radix Representation

Decimal 7125842
Binary 11011001011101101010010 (23 bits)
Octal 0o33135522
Hexadecimal 0x6CBB52

Divisor Catalog (5 of 8)

1 2 911 1,822 3,911

Collatz Trajectory (173 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.

7,125,842 3,562,921 10,688,764 5,344,382 2,672,191

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