λ
Matchaa Zalai

107,904

27 × 3 × 281
Abundant Even Composite

107,904 factors as 2^7 × 3 × 281. Its 32 positive divisors give a proper-divisor sum of 179,736, so this integer is abundant. The Collatz stopping time is 48 steps.

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Prime Factor Structure

Factorization String 2^7 × 3 × 281
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 287,640
Proper Divisor Sum 179,736
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #107903 ← → #107923

Radix Representation

Decimal 107904
Binary 11010010110000000 (17 bits)
Octal 0o322600
Hexadecimal 0x1A580

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (48 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.

107,904 53,952 26,976 13,488 6,744

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