414,312
23 × 3 × 61 × 283
Abundant
Even
Composite
Starting at 414,312, the Collatz iteration reaches 1 after 130 steps. The first transition is 207156; the starting value is even with 32 positive divisors.
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Prime Factor Structure
Factorization String
2^3 × 3 × 61 × 283
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
1,056,480
Proper Divisor Sum
642,168
Digit Sum / Digital Root
15 (Root: 6)
Radix Representation
| Decimal | 414312 |
| Binary | 1100101001001101000 (19 bits) |
| Octal | 0o1451150 |
| Hexadecimal | 0x65268 |
Divisor Catalog (5 of 32)
Collatz Trajectory (130 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.
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