76,776
23 × 3 × 7 × 457
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^3 × 3 × 7 × 457
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
219,840
Proper Divisor Sum
143,064
Digit Sum / Digital Root
33 (Root: 6)
Radix Representation
| Decimal | 76776 |
| Binary | 10010101111101000 (17 bits) |
| Octal | 0o225750 |
| Hexadecimal | 0x12BE8 |
Divisor Catalog (32)
Collatz Trajectory (76 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.