λ
Sigma Notebook

8,505,000

23 × 35 × 54 × 7
Abundant Even Composite

8,505,000 is even and not a perfect square. Its factorization is 2^3 × 3^5 × 5^4 × 7 and its 240 divisors sum to 34,114,080.

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Prime Factor Structure

Factorization String 2^3 × 3^5 × 5^4 × 7
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 240
Divisor Sum (σ) 34,114,080
Proper Divisor Sum 25,609,080
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8504987 ← → #8505001

Radix Representation

Decimal 8505000
Binary 100000011100011010101000 (24 bits)
Octal 0o40343250
Hexadecimal 0x81C6A8

Divisor Catalog (5 of 240)

1 2 3 4 5

Collatz Trajectory (137 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.

8,505,000 4,252,500 2,126,250 1,063,125 3,189,376

More profiles

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