7,722
2 × 33 × 11 × 13
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2 × 3^3 × 11 × 13
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
20,160
Proper Divisor Sum
12,438
Digit Sum / Digital Root
18 (Root: 9)
Radix Representation
| Decimal | 7722 |
| Binary | 1111000101010 (13 bits) |
| Octal | 0o17052 |
| Hexadecimal | 0x1E2A |
Divisor Catalog (32)
Collatz Trajectory (26 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.