λ
Harmonic Matrix

1,589,578

2 × 19 × 59 × 709
Deficient Even Composite

1,589,578 has digital root 7. The neighboring primes are 1589573 and 1589591; its proper-divisor sum differs from the starting integer by -623,156.

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Prime Factor Structure

Factorization String 2 × 19 × 59 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,556,000
Proper Divisor Sum 966,422
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #1589573 ← → #1589591

Radix Representation

Decimal 1589578
Binary 110000100000101001010 (21 bits)
Octal 0o6040512
Hexadecimal 0x18414A

Divisor Catalog (5 of 16)

1 2 19 38 59

Collatz Trajectory (145 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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