40,320
27 × 32 × 5 × 7
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^7 × 3^2 × 5 × 7
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
96
Divisor Sum (σ)
159,120
Proper Divisor Sum
118,800
Digit Sum / Digital Root
9 (Root: 9)
Radix Representation
| Decimal | 40320 |
| Binary | 1001110110000000 (16 bits) |
| Octal | 0o116600 |
| Hexadecimal | 0x9D80 |
Divisor Catalog (60 of 96)
Collatz Trajectory (44 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.