λ
Harmonic Matrix

3,877,569

32 × 430841
Deficient Odd Composite

3,877,569 has digital root 9. The neighboring primes are 3877543 and 3877571; its proper-divisor sum differs from the starting integer by -2,154,192.

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Prime Factor Structure

Factorization String 3^2 × 430841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,600,946
Proper Divisor Sum 1,723,377
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3877543 ← → #3877571

Radix Representation

Decimal 3877569
Binary 1110110010101011000001 (22 bits)
Octal 0o16625301
Hexadecimal 0x3B2AC1

Divisor Catalog (5 of 6)

Collatz Trajectory (172 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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