77,826
2 × 3 × 7 × 17 × 109
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2 × 3 × 7 × 17 × 109
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
190,080
Proper Divisor Sum
112,254
Digit Sum / Digital Root
30 (Root: 3)
Radix Representation
| Decimal | 77826 |
| Binary | 10011000000000010 (17 bits) |
| Octal | 0o230002 |
| Hexadecimal | 0x13002 |
Divisor Catalog (32)
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.