λ
Match Zalai

8,876,175

3 × 52 × 7 × 11 × 29 × 53
Abundant Odd Composite

8,876,175 factors as 3 × 5^2 × 7 × 11 × 29 × 53. Its 96 positive divisors give a proper-divisor sum of 10,408,305, so this integer is abundant. The Collatz stopping time is 181 steps.

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Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 29 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 19,284,480
Proper Divisor Sum 10,408,305
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8876149 ← → #8876239

Radix Representation

Decimal 8876175
Binary 100001110111000010001111 (24 bits)
Octal 0o41670217
Hexadecimal 0x87708F

Divisor Catalog (5 of 96)

1 3 5 7 11

Collatz Trajectory (181 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.

8,876,175 26,628,526 13,314,263 39,942,790 19,971,395

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