λ
Harmonic Matrix

3,942,736

24 × 72 × 47 × 107
Abundant Even Composite

3,942,736 has digital root 7. The neighboring primes are 3942727 and 3942739; its proper-divisor sum differs from the starting integer by 1,274,656.

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Prime Factor Structure

Factorization String 2^4 × 7^2 × 47 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,160,128
Proper Divisor Sum 5,217,392
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3942727 ← → #3942739

Radix Representation

Decimal 3942736
Binary 1111000010100101010000 (22 bits)
Octal 0o17024520
Hexadecimal 0x3C2950

Divisor Catalog (5 of 60)

1 2 4 7 8

Collatz Trajectory (154 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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