27,768
23 × 3 × 13 × 89
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3 × 13 × 89
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
75,600
Proper Divisor Sum
47,832
Digit Sum / Digital Root
30 (Root: 3)
Radix Representation
| Decimal | 27768 |
| Binary | 110110001111000 (15 bits) |
| Octal | 0o66170 |
| Hexadecimal | 0x6C78 |
Divisor Catalog (32)
Collatz Trajectory (108 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.