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Integer Codex

243,612

22 × 32 × 67 × 101
Abundant Even Composite

For 243,612, the 36 positive divisors have a total of 631,176. Removing 243,612 leaves 387,564, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 631,176
Proper Divisor Sum 387,564
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #243589 ← → #243613

Radix Representation

Decimal 243612
Binary 111011011110011100 (18 bits)
Octal 0o733634
Hexadecimal 0x3B79C

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (93 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.

243,612 121,806 60,903 182,710 91,355

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