λ
Harmonic Matrix

1,828,593

32 × 13 × 15629
Deficient Odd Composite

1,828,593 has digital root 9. The neighboring primes are 1828591 and 1828601; its proper-divisor sum differs from the starting integer by -812,526.

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Prime Factor Structure

Factorization String 3^2 × 13 × 15629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,844,660
Proper Divisor Sum 1,016,067
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1828591 ← → #1828601

Radix Representation

Decimal 1828593
Binary 110111110011011110001 (21 bits)
Octal 0o6763361
Hexadecimal 0x1BE6F1

Divisor Catalog (5 of 12)

1 3 9 13 39

Collatz Trajectory (57 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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