λ
Harmonic Matrix

1,380,123

32 × 89 × 1723
Deficient Odd Composite

1,380,123 has digital root 9. The neighboring primes are 1380083 and 1380149; its proper-divisor sum differs from the starting integer by -743,166.

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Prime Factor Structure

Factorization String 3^2 × 89 × 1723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,017,080
Proper Divisor Sum 636,957
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1380083 ← → #1380149

Radix Representation

Decimal 1380123
Binary 101010000111100011011 (21 bits)
Octal 0o5207433
Hexadecimal 0x150F1B

Divisor Catalog (5 of 12)

1 3 9 89 267

Collatz Trajectory (93 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.

1,380,123 4,140,370 2,070,185 6,210,556 3,105,278

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