λ
Zalai Atlas

9,997,792

25 × 7 × 44633
Abundant Even Composite

9,997,792 has the prime decomposition 2^5 × 7 × 44633. Its 3 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 7 × 44633
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,495,536
Proper Divisor Sum 12,497,744
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #9997787 ← → #9997817

Radix Representation

Decimal 9997792
Binary 100110001000110111100000 (24 bits)
Octal 0o46106740
Hexadecimal 0x988DE0

Divisor Catalog (5 of 24)

1 2 4 7 8

Collatz Trajectory (70 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.

9,997,792 4,998,896 2,499,448 1,249,724 624,862

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