λ
Prime Ledger

8,641,600

26 × 52 × 11 × 491
Abundant Even Composite

8,641,600 has the prime decomposition 2^6 × 5^2 × 11 × 491. Its 4 distinct prime factors produce 84 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 5^2 × 11 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 23,244,048
Proper Divisor Sum 14,602,448
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8641571 ← → #8641603

Radix Representation

Decimal 8641600
Binary 100000111101110001000000 (24 bits)
Octal 0o40756100
Hexadecimal 0x83DC40

Divisor Catalog (5 of 84)

1 2 4 5 8

Collatz Trajectory (168 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.

8,641,600 4,320,800 2,160,400 1,080,200 540,100

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