10,738
2 × 7 × 13 × 59
Deficient
Even
Composite
Starting at 10,738, the Collatz iteration reaches 1 after 73 steps. The first transition is 5369; the starting value is even with 16 positive divisors.
Prime Factor Structure
Factorization String
2 × 7 × 13 × 59
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
16
Divisor Sum (σ)
20,160
Proper Divisor Sum
9,422
Digit Sum / Digital Root
19 (Root: 1)
Radix Representation
| Decimal | 10738 |
| Binary | 10100111110010 (14 bits) |
| Octal | 0o24762 |
| Hexadecimal | 0x29F2 |
Divisor Catalog (16)
Collatz Trajectory (73 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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