72,480
25 × 3 × 5 × 151
Abundant
Even
Composite
72,480 factors as 2^5 × 3 × 5 × 151. Its 48 positive divisors give a proper-divisor sum of 157,344, so this integer is abundant. The Collatz stopping time is 68 steps.
Prime Factor Structure
Factorization String
2^5 × 3 × 5 × 151
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
48
Divisor Sum (σ)
229,824
Proper Divisor Sum
157,344
Digit Sum / Digital Root
21 (Root: 3)
Radix Representation
| Decimal | 72480 |
| Binary | 10001101100100000 (17 bits) |
| Octal | 0o215440 |
| Hexadecimal | 0x11B20 |
Divisor Catalog (48)
Collatz Trajectory (68 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
More profiles
Browse other published profiles and their separate link collections.
No other profiles in this collection.