λ
Integer Codex

9,123,894

2 × 33 × 13 × 41 × 317
Abundant Even Composite

For 9,123,894, the 64 positive divisors have a total of 22,438,080. Removing 9,123,894 leaves 13,314,186, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 41 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,438,080
Proper Divisor Sum 13,314,186
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9123887 ← → #9123901

Radix Representation

Decimal 9123894
Binary 100010110011100000110110 (24 bits)
Octal 0o42634066
Hexadecimal 0x8B3836

Divisor Catalog (5 of 64)

1 2 3 6 9

Collatz Trajectory (225 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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