33,332
22 × 13 × 641
Deficient
Even
Composite
Starting at 33,332, the Collatz iteration reaches 1 after 129 steps. The first transition is 16666; the starting value is even with 12 positive divisors.
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Prime Factor Structure
Factorization String
2^2 × 13 × 641
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
62,916
Proper Divisor Sum
29,584
Digit Sum / Digital Root
14 (Root: 5)
Radix Representation
| Decimal | 33332 |
| Binary | 1000001000110100 (16 bits) |
| Octal | 0o101064 |
| Hexadecimal | 0x8234 |
Divisor Catalog (5 of 12)
Collatz Trajectory (129 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
Showing the first 5 trajectory entries; the stopping-time total above is unchanged.
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