27,342
2 × 32 × 72 × 31
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2 × 3^2 × 7^2 × 31
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
36
Divisor Sum (σ)
71,136
Proper Divisor Sum
43,794
Digit Sum / Digital Root
18 (Root: 9)
Radix Representation
| Decimal | 27342 |
| Binary | 110101011001110 (15 bits) |
| Octal | 0o65316 |
| Hexadecimal | 0x6ACE |
Divisor Catalog (36)
Collatz Trajectory (121 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
Active Feeder Network
Other feeder batches with open delivery windows. Each feeder keeps its own target batch.