7,782,788
22 × 132 × 29 × 397
Deficient
Even
Composite
7,782,788 factors as 2^2 × 13^2 × 29 × 397. Its 36 positive divisors give a proper-divisor sum of 7,512,352, so this integer is deficient. The Collatz stopping time is 173 steps.
Resources
Prime Factor Structure
Factorization String
2^2 × 13^2 × 29 × 397
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
36
Divisor Sum (σ)
15,295,140
Proper Divisor Sum
7,512,352
Digit Sum / Digital Root
47 (Root: 2)
Adjacent Primes
#7782781 ← → #7782793
Radix Representation
| Decimal | 7782788 |
| Binary | 11101101100000110000100 (23 bits) |
| Octal | 0o35540604 |
| Hexadecimal | 0x76C184 |
Divisor Catalog (5 of 36)
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.