86,624
25 × 2707
Deficient
Even
Composite
86,624 factors as 2^5 × 2707. Its 12 positive divisors give a proper-divisor sum of 83,980, so this integer is deficient. The Collatz stopping time is 45 steps.
Prime Factor Structure
Factorization String
2^5 × 2707
Distinct Prime Factors
2
Square Status
No
Abundance Measure
Deficient
Analytical Properties
Total Divisors
12
Divisor Sum (σ)
170,604
Proper Divisor Sum
83,980
Digit Sum / Digital Root
26 (Root: 8)
Radix Representation
| Decimal | 86624 |
| Binary | 10101001001100000 (17 bits) |
| Octal | 0o251140 |
| Hexadecimal | 0x15260 |
Divisor Catalog (12)
Collatz Trajectory (45 steps to reach 1)
Iterative sequence n → n/2 (if even) or 3n+1 (if odd):
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