729
36
Deficient
Odd
Composite
Square (√ = 27)
Prime Factor Structure
Factorization String
3^6
Distinct Prime Factors
1
Square Status
Yes (√729 = 27)
Abundance Measure
Deficient
Analytical Properties
Total Divisors
7
Divisor Sum (σ)
1,093
Proper Divisor Sum
364
Digit Sum / Digital Root
18 (Root: 9)
Radix Representation
| Decimal | 729 |
| Binary | 1011011001 (10 bits) |
| Octal | 0o1331 |
| Hexadecimal | 0x2D9 |
Divisor Catalog (7)
Collatz Trajectory (33 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.