82,552
23 × 17 × 607
Deficient
Even
Composite
82,552 factors as 2^3 × 17 × 607. Its 16 positive divisors give a proper-divisor sum of 81,608, so this integer is deficient. The Collatz stopping time is 151 steps.
Prime Factor Structure
Factorization String
2^3 × 17 × 607
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
16
Divisor Sum (σ)
164,160
Proper Divisor Sum
81,608
Digit Sum / Digital Root
22 (Root: 4)
Radix Representation
| Decimal | 82552 |
| Binary | 10100001001111000 (17 bits) |
| Octal | 0o241170 |
| Hexadecimal | 0x14278 |
Divisor Catalog (16)
Collatz Trajectory (151 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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