212,732
22 × 13 × 4091
Deficient
Even
Composite
212,732 factors as 2^2 × 13 × 4091. Its 12 positive divisors give a proper-divisor sum of 188,284, so this integer is deficient. The Collatz stopping time is 80 steps.
Prime Factor Structure
Factorization String
2^2 × 13 × 4091
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
401,016
Proper Divisor Sum
188,284
Digit Sum / Digital Root
17 (Root: 8)
Adjacent Primes
#212701 ← → #212777
Radix Representation
| Decimal | 212732 |
| Binary | 110011111011111100 (18 bits) |
| Octal | 0o637374 |
| Hexadecimal | 0x33EFC |
Divisor Catalog (12)
Collatz Trajectory (80 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):