λ
Harmonic Matrix

826,561

826561
Deficient Odd Prime

826,561 has digital root 1. The neighboring primes are 826559 and 826571; its proper-divisor sum differs from the starting integer by -826,560.

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Prime Factor Structure

Factorization String 826561
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 826,562
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #826559 ← → #826571

Radix Representation

Decimal 826561
Binary 11001001110011000001 (20 bits)
Octal 0o3116301
Hexadecimal 0xC9CC1

Divisor Catalog (2)

Collatz Trajectory (69 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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