λ
Match Zalai

1,728,985

5 × 17 × 20341
Deficient Odd Composite

1,728,985 factors as 5 × 17 × 20341. Its 8 positive divisors give a proper-divisor sum of 467,951, so this integer is deficient. The Collatz stopping time is 189 steps.

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Prime Factor Structure

Factorization String 5 × 17 × 20341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,196,936
Proper Divisor Sum 467,951
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1728983 ← → #1728997

Radix Representation

Decimal 1728985
Binary 110100110000111011001 (21 bits)
Octal 0o6460731
Hexadecimal 0x1A61D9

Divisor Catalog (5 of 8)

1 5 17 85 20,341

Collatz Trajectory (189 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.

1,728,985 5,186,956 2,593,478 1,296,739 3,890,218

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