λ
Sigma Notebook

8,009,199

34 × 11 × 89 × 101
Deficient Odd Composite

8,009,199 is odd and not a perfect square. Its factorization is 3^4 × 11 × 89 × 101 and its 40 divisors sum to 13,329,360.

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Prime Factor Structure

Factorization String 3^4 × 11 × 89 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,329,360
Proper Divisor Sum 5,320,161
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8009179 ← → #8009219

Radix Representation

Decimal 8009199
Binary 11110100011010111101111 (23 bits)
Octal 0o36432757
Hexadecimal 0x7A35EF

Divisor Catalog (5 of 40)

1 3 9 11 27

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.

8,009,199 24,027,598 12,013,799 36,041,398 18,020,699

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