λ
Integer Codex

218,712

23 × 3 × 13 × 701
Abundant Even Composite

For 218,712, the 32 positive divisors have a total of 589,680. Removing 218,712 leaves 370,968, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 589,680
Proper Divisor Sum 370,968
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #218711 ← → #218717

Radix Representation

Decimal 218712
Binary 110101011001011000 (18 bits)
Octal 0o653130
Hexadecimal 0x35658

Divisor Catalog (32)

Collatz Trajectory (67 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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