λ
Integer Codex

8,637,824

27 × 13 × 29 × 179
Abundant Even Composite

For 8,637,824, the 64 positive divisors have a total of 19,278,000. Removing 8,637,824 leaves 10,640,176, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^7 × 13 × 29 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,278,000
Proper Divisor Sum 10,640,176
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8637821 ← → #8637829

Radix Representation

Decimal 8637824
Binary 100000111100110110000000 (24 bits)
Octal 0o40746600
Hexadecimal 0x83CD80

Divisor Catalog (5 of 64)

1 2 4 8 13

Collatz Trajectory (119 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.

8,637,824 4,318,912 2,159,456 1,079,728 539,864

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