λ
Harmonic Matrix

3,826,225

52 × 13 × 61 × 193
Deficient Odd Composite

3,826,225 has digital root 1. The neighboring primes are 3826219 and 3826259; its proper-divisor sum differs from the starting integer by -2,432,298.

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Prime Factor Structure

Factorization String 5^2 × 13 × 61 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,220,152
Proper Divisor Sum 1,393,927
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3826219 ← → #3826259

Radix Representation

Decimal 3826225
Binary 1110100110001000110001 (22 bits)
Octal 0o16461061
Hexadecimal 0x3A6231

Divisor Catalog (5 of 24)

1 5 13 25 61

Collatz Trajectory (185 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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