74,529
32 × 72 × 132
Deficient
Odd
Composite
Square (√ = 273)
For 74,529, the 27 positive divisors have a total of 135,603. Removing 74,529 leaves 61,074, which gives the deficient classification.
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Prime Factor Structure
Factorization String
3^2 × 7^2 × 13^2
Distinct Prime Factors
3
Square Status
Yes (√74529 = 273)
Abundance Measure
Deficient
Analytical Properties
Total Divisors
27
Divisor Sum (σ)
135,603
Proper Divisor Sum
61,074
Digit Sum / Digital Root
27 (Root: 9)
Radix Representation
| Decimal | 74529 |
| Binary | 10010001100100001 (17 bits) |
| Octal | 0o221441 |
| Hexadecimal | 0x12321 |
Divisor Catalog (5 of 27)
Collatz Trajectory (94 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.
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