9,972
22 × 32 × 277
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^2 × 3^2 × 277
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
18
Divisor Sum (σ)
25,298
Proper Divisor Sum
15,326
Digit Sum / Digital Root
27 (Root: 9)
Radix Representation
| Decimal | 9972 |
| Binary | 10011011110100 (14 bits) |
| Octal | 0o23364 |
| Hexadecimal | 0x26F4 |
Divisor Catalog (18)
Collatz Trajectory (135 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.