77,688
23 × 32 × 13 × 83
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3^2 × 13 × 83
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
229,320
Proper Divisor Sum
151,632
Digit Sum / Digital Root
36 (Root: 9)
Radix Representation
| Decimal | 77688 |
| Binary | 10010111101111000 (17 bits) |
| Octal | 0o227570 |
| Hexadecimal | 0x12F78 |
Divisor Catalog (48)
Collatz Trajectory (63 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.