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Math Directory

657,573

3 × 7 × 173 × 181
Deficient Odd Composite

657,573 factors as 3 × 7 × 173 × 181. Its 16 positive divisors give a proper-divisor sum of 355,803, so this integer is deficient. The Collatz stopping time is 291 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 173 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,013,376
Proper Divisor Sum 355,803
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #657557 ← → #657581

Radix Representation

Decimal 657573
Binary 10100000100010100101 (20 bits)
Octal 0o2404245
Hexadecimal 0xA08A5

Divisor Catalog (5 of 16)

1 3 7 21 173

Collatz Trajectory (291 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.

657,573 1,972,720 986,360 493,180 246,590

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