7,712,334
2 × 35 × 7 × 2267
Abundant
Even
Composite
Starting at 7,712,334, the Collatz iteration reaches 1 after 173 steps. The first transition is 3856167; the starting value is even with 48 positive divisors.
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Prime Factor Structure
Factorization String
2 × 3^5 × 7 × 2267
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
19,813,248
Proper Divisor Sum
12,100,914
Digit Sum / Digital Root
27 (Root: 9)
Radix Representation
| Decimal | 7712334 |
| Binary | 11101011010111001001110 (23 bits) |
| Octal | 0o35327116 |
| Hexadecimal | 0x75AE4E |
Divisor Catalog (5 of 48)
Collatz Trajectory (173 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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