λ
Harmonic Matrix

4,110,742

2 × 41 × 50131
Deficient Even Composite

4,110,742 has digital root 1. The neighboring primes are 4110727 and 4110751; its proper-divisor sum differs from the starting integer by -1,904,852.

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Prime Factor Structure

Factorization String 2 × 41 × 50131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,316,632
Proper Divisor Sum 2,205,890
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4110727 ← → #4110751

Radix Representation

Decimal 4110742
Binary 1111101011100110010110 (22 bits)
Octal 0o17534626
Hexadecimal 0x3EB996

Divisor Catalog (5 of 8)

1 2 41 82 50,131

Collatz Trajectory (198 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.

4,110,742 2,055,371 6,166,114 3,083,057 9,249,172

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