λ
Integer Codex

12,606

2 × 3 × 11 × 191
Abundant Even Composite

For 12,606, the 16 positive divisors have a total of 27,648. Removing 12,606 leaves 15,042, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 27,648
Proper Divisor Sum 15,042
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #12601 ← → #12611

Radix Representation

Decimal 12606
Binary 11000100111110 (14 bits)
Octal 0o30476
Hexadecimal 0x313E

Divisor Catalog (5 of 16)

1 2 3 6 11

Collatz Trajectory (156 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.

12,606 6,303 18,910 9,455 28,366

More profiles

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