λ
Zalai Atlas

717,640

23 × 5 × 7 × 11 × 233
Abundant Even Composite

717,640 has the prime decomposition 2^3 × 5 × 7 × 11 × 233. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,021,760
Proper Divisor Sum 1,304,120
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #717631 ← → #717653

Radix Representation

Decimal 717640
Binary 10101111001101001000 (20 bits)
Octal 0o2571510
Hexadecimal 0xAF348

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (123 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.

717,640 358,820 179,410 89,705 269,116

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