λ
Prime Ledger

762,705

32 × 5 × 17 × 997
Deficient Odd Composite

762,705 has the prime decomposition 3^2 × 5 × 17 × 997. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,401,192
Proper Divisor Sum 638,487
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #762667 ← → #762721

Radix Representation

Decimal 762705
Binary 10111010001101010001 (20 bits)
Octal 0o2721521
Hexadecimal 0xBA351

Divisor Catalog (5 of 24)

1 3 5 9 15

Collatz Trajectory (286 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.

762,705 2,288,116 1,144,058 572,029 1,716,088

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