λ
Prime Ledger

8,584,128

26 × 32 × 7 × 2129
Abundant Even Composite

8,584,128 has the prime decomposition 2^6 × 3^2 × 7 × 2129. Its 4 distinct prime factors produce 84 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 28,133,040
Proper Divisor Sum 19,548,912
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8584097 ← → #8584151

Radix Representation

Decimal 8584128
Binary 100000101111101111000000 (24 bits)
Octal 0o40575700
Hexadecimal 0x82FBC0

Divisor Catalog (5 of 84)

1 2 3 4 6

Collatz Trajectory (150 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.

8,584,128 4,292,064 2,146,032 1,073,016 536,508

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