688,090
2 × 5 × 13 × 67 × 79
Deficient
Even
Composite
Starting at 688,090, the Collatz iteration reaches 1 after 105 steps. The first transition is 344045; the starting value is even with 32 positive divisors.
Resources
Prime Factor Structure
Factorization String
2 × 5 × 13 × 67 × 79
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
1,370,880
Proper Divisor Sum
682,790
Digit Sum / Digital Root
31 (Root: 4)
Adjacent Primes
#688087 ← → #688097
Radix Representation
| Decimal | 688090 |
| Binary | 10100111111111011010 (20 bits) |
| Octal | 0o2477732 |
| Hexadecimal | 0xA7FDA |
Divisor Catalog (5 of 32)
Collatz Trajectory (105 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.