λ
Prime Ledger

3,967,176

23 × 3 × 47 × 3517
Abundant Even Composite

3,967,176 has the prime decomposition 2^3 × 3 × 47 × 3517. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 3517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,131,840
Proper Divisor Sum 6,164,664
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3967157 ← → #3967189

Radix Representation

Decimal 3967176
Binary 1111001000100011001000 (22 bits)
Octal 0o17104310
Hexadecimal 0x3C88C8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (123 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.

3,967,176 1,983,588 991,794 495,897 1,487,692

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