λ
Prime Ledger

8,018,220

22 × 3 × 5 × 7 × 17 × 1123
Abundant Even Composite

8,018,220 has the prime decomposition 2^2 × 3 × 5 × 7 × 17 × 1123. Its 6 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 17 × 1123
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 27,191,808
Proper Divisor Sum 19,173,588
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8018207 ← → #8018221

Radix Representation

Decimal 8018220
Binary 11110100101100100101100 (23 bits)
Octal 0o36454454
Hexadecimal 0x7A592C

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (62 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.

8,018,220 4,009,110 2,004,555 6,013,666 3,006,833

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