λ
Prime Ledger

8,527,588

22 × 432 × 1153
Deficient Even Composite

8,527,588 has the prime decomposition 2^2 × 43^2 × 1153. Its 3 distinct prime factors produce 18 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 43^2 × 1153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 15,291,654
Proper Divisor Sum 6,764,066
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8527543 ← → #8527601

Radix Representation

Decimal 8527588
Binary 100000100001111011100100 (24 bits)
Octal 0o40417344
Hexadecimal 0x821EE4

Divisor Catalog (5 of 18)

1 2 4 43 86

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.

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