7,762,224
24 × 3 × 23 × 79 × 89
Abundant
Even
Composite
7,762,224 factors as 2^4 × 3 × 23 × 79 × 89. Its 80 positive divisors give a proper-divisor sum of 13,664,976, so this integer is abundant. The Collatz stopping time is 186 steps.
Resources
Prime Factor Structure
Factorization String
2^4 × 3 × 23 × 79 × 89
Distinct Prime Factors
5
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
80
Divisor Sum (σ)
21,427,200
Proper Divisor Sum
13,664,976
Digit Sum / Digital Root
30 (Root: 3)
Adjacent Primes
#7762213 ← → #7762229
Radix Representation
| Decimal | 7762224 |
| Binary | 11101100111000100110000 (23 bits) |
| Octal | 0o35470460 |
| Hexadecimal | 0x767130 |
Divisor Catalog (5 of 80)
Collatz Trajectory (186 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.