27,720
23 × 32 × 5 × 7 × 11
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3^2 × 5 × 7 × 11
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
96
Divisor Sum (σ)
112,320
Proper Divisor Sum
84,600
Digit Sum / Digital Root
18 (Root: 9)
Radix Representation
| Decimal | 27720 |
| Binary | 110110001001000 (15 bits) |
| Octal | 0o66110 |
| Hexadecimal | 0x6C48 |
Divisor Catalog (60 of 96)
Collatz Trajectory (152 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.