λ
Integer Codex

8,290,009

7 × 13 × 91099
Deficient Odd Composite

For 8,290,009, the 8 positive divisors have a total of 10,203,200. Removing 8,290,009 leaves 1,913,191, which gives the deficient classification.

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Prime Factor Structure

Factorization String 7 × 13 × 91099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,203,200
Proper Divisor Sum 1,913,191
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8289997 ← → #8290043

Radix Representation

Decimal 8290009
Binary 11111100111111011011001 (23 bits)
Octal 0o37477331
Hexadecimal 0x7E7ED9

Divisor Catalog (5 of 8)

1 7 13 91 91,099

Collatz Trajectory (80 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.

8,290,009 24,870,028 12,435,014 6,217,507 18,652,522

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