λ
Integer Codex

8,586,564

22 × 3 × 72 × 17 × 859
Abundant Even Composite

For 8,586,564, the 72 positive divisors have a total of 24,706,080. Removing 8,586,564 leaves 16,119,516, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 17 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,706,080
Proper Divisor Sum 16,119,516
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8586563 ← → #8586577

Radix Representation

Decimal 8586564
Binary 100000110000010101000100 (24 bits)
Octal 0o40602504
Hexadecimal 0x830544

Divisor Catalog (5 of 72)

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.

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