λ
Match Zalai

8,817,050

2 × 52 × 11 × 17 × 23 × 41
Abundant Even Composite

8,817,050 factors as 2 × 5^2 × 11 × 17 × 23 × 41. Its 96 positive divisors give a proper-divisor sum of 11,431,654, so this integer is abundant. The Collatz stopping time is 119 steps.

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Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 17 × 23 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 20,248,704
Proper Divisor Sum 11,431,654
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8817049 ← → #8817071

Radix Representation

Decimal 8817050
Binary 100001101000100110011010 (24 bits)
Octal 0o41504632
Hexadecimal 0x86899A

Divisor Catalog (5 of 96)

1 2 5 10 11

Collatz Trajectory (119 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.

8,817,050 4,408,525 13,225,576 6,612,788 3,306,394

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