457,744
24 × 7 × 61 × 67
Abundant
Even
Composite
457,744 factors as 2^4 × 7 × 61 × 67. Its 40 positive divisors give a proper-divisor sum of 587,824, so this integer is abundant. The Collatz stopping time is 55 steps.
Resources
Prime Factor Structure
Factorization String
2^4 × 7 × 61 × 67
Distinct Prime Factors
4
Square Status
No
Abundance Measure
Abundant
Analytical Properties
Total Divisors
40
Divisor Sum (σ)
1,045,568
Proper Divisor Sum
587,824
Digit Sum / Digital Root
31 (Root: 4)
Adjacent Primes
#457739 ← → #457757
Radix Representation
| Decimal | 457744 |
| Binary | 1101111110000010000 (19 bits) |
| Octal | 0o1576020 |
| Hexadecimal | 0x6FC10 |
Divisor Catalog (5 of 40)
Collatz Trajectory (55 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.