λ
Sigma Notebook

8,667,136

214 × 232
Abundant Even Composite Square (√ = 2944)

8,667,136 is even and an exact square with square root 2944. Its factorization is 2^14 × 23^2 and its 45 divisors sum to 18,120,151.

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Prime Factor Structure

Factorization String 2^14 × 23^2
Distinct Prime Factors 2
Square Status Yes (√8667136 = 2944)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 18,120,151
Proper Divisor Sum 9,453,015
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8667121 ← → #8667137

Radix Representation

Decimal 8667136
Binary 100001000100000000000000 (24 bits)
Octal 0o41040000
Hexadecimal 0x844000

Divisor Catalog (5 of 45)

1 2 4 8 16

Collatz Trajectory (44 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.

8,667,136 4,333,568 2,166,784 1,083,392 541,696

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