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Math Directory

4,142,175

3 × 52 × 55229
Deficient Odd Composite

4,142,175 factors as 3 × 5^2 × 55229. Its 12 positive divisors give a proper-divisor sum of 2,706,345, so this integer is deficient. The Collatz stopping time is 304 steps.

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Prime Factor Structure

Factorization String 3 × 5^2 × 55229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,848,520
Proper Divisor Sum 2,706,345
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4142167 ← → #4142179

Radix Representation

Decimal 4142175
Binary 1111110011010001011111 (22 bits)
Octal 0o17632137
Hexadecimal 0x3F345F

Divisor Catalog (5 of 12)

1 3 5 15 25

Collatz Trajectory (304 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.

4,142,175 12,426,526 6,213,263 18,639,790 9,319,895

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