λ
Match Zalai

3,536,918

2 × 72 × 11 × 17 × 193
Abundant Even Composite

3,536,918 factors as 2 × 7^2 × 11 × 17 × 193. Its 48 positive divisors give a proper-divisor sum of 3,628,666, so this integer is abundant. The Collatz stopping time is 128 steps.

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Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 17 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,165,584
Proper Divisor Sum 3,628,666
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3536903 ← → #3536933

Radix Representation

Decimal 3536918
Binary 1101011111100000010110 (22 bits)
Octal 0o15374026
Hexadecimal 0x35F816

Divisor Catalog (5 of 48)

1 2 7 11 14

Collatz Trajectory (128 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.

3,536,918 1,768,459 5,305,378 2,652,689 7,958,068

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