λ
Zalai Atlas

8,820,060

22 × 3 × 5 × 29 × 37 × 137
Abundant Even Composite

8,820,060 has the prime decomposition 2^2 × 3 × 5 × 29 × 37 × 137. Its 6 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 37 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 26,429,760
Proper Divisor Sum 17,609,700
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8820041 ← → #8820073

Radix Representation

Decimal 8820060
Binary 100001101001010101011100 (24 bits)
Octal 0o41512534
Hexadecimal 0x86955C

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (155 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.

8,820,060 4,410,030 2,205,015 6,615,046 3,307,523

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