15,624
23 × 32 × 7 × 31
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3^2 × 7 × 31
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
49,920
Proper Divisor Sum
34,296
Digit Sum / Digital Root
18 (Root: 9)
Radix Representation
| Decimal | 15624 |
| Binary | 11110100001000 (14 bits) |
| Octal | 0o36410 |
| Hexadecimal | 0x3D08 |
Divisor Catalog (48)
Collatz Trajectory (40 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.