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Math Directory

4,704,165

32 × 5 × 104537
Deficient Odd Composite

4,704,165 factors as 3^2 × 5 × 104537. Its 12 positive divisors give a proper-divisor sum of 3,449,799, so this integer is deficient. The Collatz stopping time is 131 steps.

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Prime Factor Structure

Factorization String 3^2 × 5 × 104537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,153,964
Proper Divisor Sum 3,449,799
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4704151 ← → #4704179

Radix Representation

Decimal 4704165
Binary 10001111100011110100101 (23 bits)
Octal 0o21743645
Hexadecimal 0x47C7A5

Divisor Catalog (5 of 12)

1 3 5 9 15

Collatz Trajectory (131 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.

4,704,165 14,112,496 7,056,248 3,528,124 1,764,062

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