46,688
25 × 1459
Deficient
Even
Composite
46,688 factors as 2^5 × 1459. Its 12 positive divisors give a proper-divisor sum of 45,292, so this integer is deficient. The Collatz stopping time is 39 steps.
Prime Factor Structure
Factorization String
2^5 × 1459
Distinct Prime Factors
2
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
91,980
Proper Divisor Sum
45,292
Digit Sum / Digital Root
32 (Root: 5)
Radix Representation
| Decimal | 46688 |
| Binary | 1011011001100000 (16 bits) |
| Octal | 0o133140 |
| Hexadecimal | 0xB660 |
Divisor Catalog (12)
Collatz Trajectory (39 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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