7,505,007
3 × 17 × 31 × 47 × 101
Deficient
Odd
Composite
Starting at 7,505,007, the Collatz iteration reaches 1 after 235 steps. The first transition is 22515022; the starting value is odd with 32 positive divisors.
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Prime Factor Structure
Factorization String
3 × 17 × 31 × 47 × 101
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
32
Divisor Sum (σ)
11,280,384
Proper Divisor Sum
3,775,377
Digit Sum / Digital Root
24 (Root: 6)
Radix Representation
| Decimal | 7505007 |
| Binary | 11100101000010001101111 (23 bits) |
| Octal | 0o34502157 |
| Hexadecimal | 0x72846F |
Divisor Catalog (5 of 32)
Collatz Trajectory (235 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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