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Math Directory

4,278,105

32 × 5 × 13 × 71 × 103
Deficient Odd Composite

4,278,105 factors as 3^2 × 5 × 13 × 71 × 103. Its 48 positive divisors give a proper-divisor sum of 3,898,791, so this integer is deficient. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 71 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,176,896
Proper Divisor Sum 3,898,791
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4278103 ← → #4278121

Radix Representation

Decimal 4278105
Binary 10000010100011101011001 (23 bits)
Octal 0o20243531
Hexadecimal 0x414759

Divisor Catalog (5 of 48)

1 3 5 9 13

Collatz Trajectory (97 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.

4,278,105 12,834,316 6,417,158 3,208,579 9,625,738

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