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Zalai Atlas

9,951,312

24 × 3 × 72 × 4231
Abundant Even Composite

9,951,312 has the prime decomposition 2^4 × 3 × 7^2 × 4231. Its 4 distinct prime factors produce 60 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 4231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 29,911,776
Proper Divisor Sum 19,960,464
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9951301 ← → #9951317

Radix Representation

Decimal 9951312
Binary 100101111101100001010000 (24 bits)
Octal 0o45754120
Hexadecimal 0x97D850

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (114 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.

9,951,312 4,975,656 2,487,828 1,243,914 621,957

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