19,782
2 × 32 × 7 × 157
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2 × 3^2 × 7 × 157
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
24
Divisor Sum (σ)
49,296
Proper Divisor Sum
29,514
Digit Sum / Digital Root
27 (Root: 9)
Radix Representation
| Decimal | 19782 |
| Binary | 100110101000110 (15 bits) |
| Octal | 0o46506 |
| Hexadecimal | 0x4D46 |
Divisor Catalog (24)
Collatz Trajectory (123 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.