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Math Directory

5,701,698

2 × 33 × 17 × 6211
Abundant Even Composite

5,701,698 factors as 2 × 3^3 × 17 × 6211. Its 32 positive divisors give a proper-divisor sum of 7,716,222, so this integer is abundant. The Collatz stopping time is 307 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 6211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,417,920
Proper Divisor Sum 7,716,222
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5701693 ← → #5701727

Radix Representation

Decimal 5701698
Binary 10101110000000001000010 (23 bits)
Octal 0o25600102
Hexadecimal 0x570042

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (307 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.

5,701,698 2,850,849 8,552,548 4,276,274 2,138,137

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