λ
Harmonic Matrix

4,006,389

3 × 197 × 6779
Deficient Odd Composite

4,006,389 has digital root 3. The neighboring primes are 4006381 and 4006403; its proper-divisor sum differs from the starting integer by -2,643,018.

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Prime Factor Structure

Factorization String 3 × 197 × 6779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,369,760
Proper Divisor Sum 1,363,371
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4006381 ← → #4006403

Radix Representation

Decimal 4006389
Binary 1111010010000111110101 (22 bits)
Octal 0o17220765
Hexadecimal 0x3D21F5

Divisor Catalog (5 of 8)

1 3 197 591 6,779

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.

4,006,389 12,019,168 6,009,584 3,004,792 1,502,396

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