λ
Integer Codex

8,013,231

32 × 19 × 46861
Deficient Odd Composite

For 8,013,231, the 12 positive divisors have a total of 12,184,120. Removing 8,013,231 leaves 4,170,889, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 19 × 46861
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,184,120
Proper Divisor Sum 4,170,889
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8013157 ← → #8013233

Radix Representation

Decimal 8013231
Binary 11110100100010110101111 (23 bits)
Octal 0o36442657
Hexadecimal 0x7A45AF

Divisor Catalog (5 of 12)

1 3 9 19 57

Collatz Trajectory (116 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.

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