77,976
23 × 33 × 192
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3^3 × 19^2
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
228,600
Proper Divisor Sum
150,624
Digit Sum / Digital Root
36 (Root: 9)
Radix Representation
| Decimal | 77976 |
| Binary | 10011000010011000 (17 bits) |
| Octal | 0o230230 |
| Hexadecimal | 0x13098 |
Divisor Catalog (48)
Collatz Trajectory (125 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.