λ
Integer Codex

9,294,208

27 × 7 × 11 × 23 × 41
Abundant Even Composite

For 9,294,208, the 128 positive divisors have a total of 24,675,840. Removing 9,294,208 leaves 15,381,632, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^7 × 7 × 11 × 23 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 24,675,840
Proper Divisor Sum 15,381,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9294199 ← → #9294209

Radix Representation

Decimal 9294208
Binary 100011011101000110000000 (24 bits)
Octal 0o43350600
Hexadecimal 0x8DD180

Divisor Catalog (5 of 128)

1 2 4 7 8

Collatz Trajectory (75 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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