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Math Directory

4,142,165

5 × 373 × 2221
Deficient Odd Composite

4,142,165 factors as 5 × 373 × 2221. Its 8 positive divisors give a proper-divisor sum of 844,003, so this integer is deficient. The Collatz stopping time is 260 steps.

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Prime Factor Structure

Factorization String 5 × 373 × 2221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,986,168
Proper Divisor Sum 844,003
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4142161 ← → #4142167

Radix Representation

Decimal 4142165
Binary 1111110011010001010101 (22 bits)
Octal 0o17632125
Hexadecimal 0x3F3455

Divisor Catalog (5 of 8)

1 5 373 1,865 2,221

Collatz Trajectory (260 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.

4,142,165 12,426,496 6,213,248 3,106,624 1,553,312

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