27,722
2 × 83 × 167
Deficient
Even
Composite
27,722 factors as 2 × 83 × 167. Its 8 positive divisors give a proper-divisor sum of 14,614, so this integer is deficient. The Collatz stopping time is 152 steps.
Resources
Prime Factor Structure
Factorization String
2 × 83 × 167
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
8
Divisor Sum (σ)
42,336
Proper Divisor Sum
14,614
Digit Sum / Digital Root
20 (Root: 2)
Adjacent Primes
#27701 ← → #27733
Radix Representation
| Decimal | 27722 |
| Binary | 110110001001010 (15 bits) |
| Octal | 0o66112 |
| Hexadecimal | 0x6C4A |
Divisor Catalog (5 of 8)
Collatz Trajectory (152 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.