λ
Zalai Atlas

1,728,259

13 × 19 × 6997
Deficient Odd Composite

1,728,259 has the prime decomposition 13 × 19 × 6997. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 13 × 19 × 6997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,959,440
Proper Divisor Sum 231,181
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1728257 ← → #1728269

Radix Representation

Decimal 1728259
Binary 110100101111100000011 (21 bits)
Octal 0o6457403
Hexadecimal 0x1A5F03

Divisor Catalog (5 of 8)

1 13 19 247 6,997

Collatz Trajectory (96 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.

1,728,259 5,184,778 2,592,389 7,777,168 3,888,584

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