λ
Harmonic Matrix

3,421,827

32 × 380203
Deficient Odd Composite

3,421,827 has digital root 9. The neighboring primes are 3421813 and 3421853; its proper-divisor sum differs from the starting integer by -1,901,002.

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Prime Factor Structure

Factorization String 3^2 × 380203
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,942,652
Proper Divisor Sum 1,520,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3421813 ← → #3421853

Radix Representation

Decimal 3421827
Binary 1101000011011010000011 (22 bits)
Octal 0o15033203
Hexadecimal 0x343683

Divisor Catalog (5 of 6)

Collatz Trajectory (102 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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