λ
Prime Ledger

8,195,264

26 × 7 × 11 × 1663
Abundant Even Composite

8,195,264 has the prime decomposition 2^6 × 7 × 11 × 1663. Its 4 distinct prime factors produce 56 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 1663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 20,287,488
Proper Divisor Sum 12,092,224
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8195227 ← → #8195267

Radix Representation

Decimal 8195264
Binary 11111010000110011000000 (23 bits)
Octal 0o37206300
Hexadecimal 0x7D0CC0

Divisor Catalog (5 of 56)

1 2 4 7 8

Collatz Trajectory (93 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.

8,195,264 4,097,632 2,048,816 1,024,408 512,204

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