λ
Prime Ledger

684,335

5 × 17 × 83 × 97
Deficient Odd Composite

684,335 has the prime decomposition 5 × 17 × 83 × 97. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 5 × 17 × 83 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 889,056
Proper Divisor Sum 204,721
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #684329 ← → #684337

Radix Representation

Decimal 684335
Binary 10100111000100101111 (20 bits)
Octal 0o2470457
Hexadecimal 0xA712F

Divisor Catalog (5 of 16)

1 5 17 83 85

Collatz Trajectory (198 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.

684,335 2,053,006 1,026,503 3,079,510 1,539,755

More profiles

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