λ
Harmonic Matrix

589,921

589921
Deficient Odd Prime

589,921 has digital root 7. The neighboring primes are 589903 and 589933; its proper-divisor sum differs from the starting integer by -589,920.

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Prime Factor Structure

Factorization String 589921
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 589,922
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #589903 ← → #589933

Radix Representation

Decimal 589921
Binary 10010000000001100001 (20 bits)
Octal 0o2200141
Hexadecimal 0x90061

Divisor Catalog (2)

Collatz Trajectory (221 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.

589,921 1,769,764 884,882 442,441 1,327,324

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