31,872
27 × 3 × 83
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^7 × 3 × 83
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
85,680
Proper Divisor Sum
53,808
Digit Sum / Digital Root
21 (Root: 3)
Radix Representation
| Decimal | 31872 |
| Binary | 111110010000000 (15 bits) |
| Octal | 0o76200 |
| Hexadecimal | 0x7C80 |
Divisor Catalog (32)
Collatz Trajectory (54 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.