λ
Match Zalai

729,309

3 × 7 × 34729
Deficient Odd Composite

729,309 factors as 3 × 7 × 34729. Its 8 positive divisors give a proper-divisor sum of 382,051, so this integer is deficient. The Collatz stopping time is 92 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 34729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,111,360
Proper Divisor Sum 382,051
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #729301 ← → #729329

Radix Representation

Decimal 729309
Binary 10110010000011011101 (20 bits)
Octal 0o2620335
Hexadecimal 0xB20DD

Divisor Catalog (5 of 8)

1 3 7 21 34,729

Collatz Trajectory (92 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.

729,309 2,187,928 1,093,964 546,982 273,491

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