λ
Harmonic Matrix

3,993,784

23 × 467 × 1069
Deficient Even Composite

3,993,784 has digital root 7. The neighboring primes are 3993779 and 3993791; its proper-divisor sum differs from the starting integer by -476,168.

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Prime Factor Structure

Factorization String 2^3 × 467 × 1069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,511,400
Proper Divisor Sum 3,517,616
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3993779 ← → #3993791

Radix Representation

Decimal 3993784
Binary 1111001111000010111000 (22 bits)
Octal 0o17170270
Hexadecimal 0x3CF0B8

Divisor Catalog (5 of 16)

1 2 4 8 467

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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