λ
Harmonic Matrix

1,627,438

2 × 31 × 26249
Deficient Even Composite

1,627,438 has digital root 4. The neighboring primes are 1627429 and 1627441; its proper-divisor sum differs from the starting integer by -734,876.

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Prime Factor Structure

Factorization String 2 × 31 × 26249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,520,000
Proper Divisor Sum 892,562
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1627429 ← → #1627441

Radix Representation

Decimal 1627438
Binary 110001101010100101110 (21 bits)
Octal 0o6152456
Hexadecimal 0x18D52E

Divisor Catalog (5 of 8)

1 2 31 62 26,249

Collatz Trajectory (207 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.

1,627,438 813,719 2,441,158 1,220,579 3,661,738

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