λ
Harmonic Matrix

628,833

3 × 263 × 797
Deficient Odd Composite

628,833 has digital root 3. The neighboring primes are 628819 and 628841; its proper-divisor sum differs from the starting integer by -414,978.

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Prime Factor Structure

Factorization String 3 × 263 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 842,688
Proper Divisor Sum 213,855
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #628819 ← → #628841

Radix Representation

Decimal 628833
Binary 10011001100001100001 (20 bits)
Octal 0o2314141
Hexadecimal 0x99861

Divisor Catalog (5 of 8)

Collatz Trajectory (110 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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