7,792,192
26 × 109 × 1117
Abundant
Even
Composite
Starting at 7,792,192, the Collatz iteration reaches 1 after 178 steps. The first transition is 3896096; the starting value is even with 28 positive divisors.
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Prime Factor Structure
Factorization String
2^6 × 109 × 1117
Distinct Prime Factors
3
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
28
Divisor Sum (σ)
15,618,460
Proper Divisor Sum
7,826,268
Digit Sum / Digital Root
37 (Root: 1)
Radix Representation
| Decimal | 7792192 |
| Binary | 11101101110011001000000 (23 bits) |
| Octal | 0o35563100 |
| Hexadecimal | 0x76E640 |
Divisor Catalog (5 of 28)
Collatz Trajectory (178 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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