77,952
27 × 3 × 7 × 29
Abundant
Even
Composite
Prime Factor Structure
Factorization String
2^7 × 3 × 7 × 29
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
64
Divisor Sum (σ)
244,800
Proper Divisor Sum
166,848
Digit Sum / Digital Root
30 (Root: 3)
Radix Representation
| Decimal | 77952 |
| Binary | 10011000010000000 (17 bits) |
| Octal | 0o230200 |
| Hexadecimal | 0x13080 |
Divisor Catalog (60 of 64)
Collatz Trajectory (138 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.