27,972
22 × 33 × 7 × 37
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^2 × 3^3 × 7 × 37
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
85,120
Proper Divisor Sum
57,148
Digit Sum / Digital Root
27 (Root: 9)
Radix Representation
| Decimal | 27972 |
| Binary | 110110101000100 (15 bits) |
| Octal | 0o66504 |
| Hexadecimal | 0x6D44 |
Divisor Catalog (48)
Collatz Trajectory (108 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.