λ
Integer Codex

8,531,684

22 × 72 × 19 × 29 × 79
Abundant Even Composite

For 8,531,684, the 72 positive divisors have a total of 19,152,000. Removing 8,531,684 leaves 10,620,316, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 19 × 29 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,152,000
Proper Divisor Sum 10,620,316
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8531683 ← → #8531687

Radix Representation

Decimal 8531684
Binary 100000100010111011100100 (24 bits)
Octal 0o40427344
Hexadecimal 0x822EE4

Divisor Catalog (5 of 72)

1 2 4 7 14

Collatz Trajectory (230 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.

8,531,684 4,265,842 2,132,921 6,398,764 3,199,382

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