32,564
22 × 7 × 1163
Abundant
Even
Composite
32,564 factors as 2^2 × 7 × 1163. Its 12 positive divisors give a proper-divisor sum of 32,620, so this integer is abundant. The Collatz stopping time is 160 steps.
Prime Factor Structure
Factorization String
2^2 × 7 × 1163
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
65,184
Proper Divisor Sum
32,620
Digit Sum / Digital Root
20 (Root: 2)
Radix Representation
| Decimal | 32564 |
| Binary | 111111100110100 (15 bits) |
| Octal | 0o77464 |
| Hexadecimal | 0x7F34 |
Divisor Catalog (12)
Collatz Trajectory (160 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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