7,824
24 × 3 × 163
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^4 × 3 × 163
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
20
Divisor Sum (σ)
20,336
Proper Divisor Sum
12,512
Digit Sum / Digital Root
21 (Root: 3)
Radix Representation
| Decimal | 7824 |
| Binary | 1111010010000 (13 bits) |
| Octal | 0o17220 |
| Hexadecimal | 0x1E90 |
Divisor Catalog (20)
Collatz Trajectory (52 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.