λ
Prime Ledger

4,175,865

32 × 5 × 71 × 1307
Deficient Odd Composite

4,175,865 has the prime decomposition 3^2 × 5 × 71 × 1307. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 5 × 71 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,345,728
Proper Divisor Sum 3,169,863
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4175837 ← → #4175867

Radix Representation

Decimal 4175865
Binary 1111111011011111111001 (22 bits)
Octal 0o17733771
Hexadecimal 0x3FB7F9

Divisor Catalog (5 of 24)

1 3 5 9 15

Collatz Trajectory (167 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.

4,175,865 12,527,596 6,263,798 3,131,899 9,395,698

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