82,212
22 × 3 × 13 × 17 × 31
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^2 × 3 × 13 × 17 × 31
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
225,792
Proper Divisor Sum
143,580
Digit Sum / Digital Root
15 (Root: 6)
Radix Representation
| Decimal | 82212 |
| Binary | 10100000100100100 (17 bits) |
| Octal | 0o240444 |
| Hexadecimal | 0x14124 |
Divisor Catalog (48)
Collatz Trajectory (76 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.