λ
Prime Ledger

8,225,100

22 × 32 × 52 × 13 × 19 × 37
Abundant Even Composite

8,225,100 has the prime decomposition 2^2 × 3^2 × 5^2 × 13 × 19 × 37. Its 6 distinct prime factors produce 216 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 13 × 19 × 37
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 30,015,440
Proper Divisor Sum 21,790,340
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8225039 ← → #8225101

Radix Representation

Decimal 8225100
Binary 11111011000000101001100 (23 bits)
Octal 0o37300514
Hexadecimal 0x7D814C

Divisor Catalog (5 of 216)

1 2 3 4 5

Collatz Trajectory (243 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.

8,225,100 4,112,550 2,056,275 6,168,826 3,084,413

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