33,988
22 × 29 × 293
Deficient
Even
Composite
33,988 factors as 2^2 × 29 × 293. Its 12 positive divisors give a proper-divisor sum of 27,752, so this integer is deficient. The Collatz stopping time is 129 steps.
Prime Factor Structure
Factorization String
2^2 × 29 × 293
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
61,740
Proper Divisor Sum
27,752
Digit Sum / Digital Root
31 (Root: 4)
Radix Representation
| Decimal | 33988 |
| Binary | 1000010011000100 (16 bits) |
| Octal | 0o102304 |
| Hexadecimal | 0x84C4 |
Divisor Catalog (12)
Collatz Trajectory (129 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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