828,723
3 × 7 × 19 × 31 × 67
Deficient
Odd
Composite
Starting at 828,723, the Collatz iteration reaches 1 after 69 steps. The first transition is 2486170; the starting value is odd with 32 positive divisors.
Prime Factor Structure
Factorization String
3 × 7 × 19 × 31 × 67
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
1,392,640
Proper Divisor Sum
563,917
Digit Sum / Digital Root
30 (Root: 3)
Radix Representation
| Decimal | 828723 |
| Binary | 11001010010100110011 (20 bits) |
| Octal | 0o3122463 |
| Hexadecimal | 0xCA533 |
Divisor Catalog (32)
Collatz Trajectory (69 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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