λ
Prime Ledger

9,578,680

23 × 5 × 43 × 5569
Abundant Even Composite

9,578,680 has the prime decomposition 2^3 × 5 × 43 × 5569. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 5569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,057,200
Proper Divisor Sum 12,478,520
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9578677 ← → #9578683

Radix Representation

Decimal 9578680
Binary 100100100010100010111000 (24 bits)
Octal 0o44424270
Hexadecimal 0x9228B8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (194 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.

9,578,680 4,789,340 2,394,670 1,197,335 3,592,006

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