λ
Prime Ledger

6,171,100

22 × 52 × 13 × 47 × 101
Abundant Even Composite

6,171,100 has the prime decomposition 2^2 × 5^2 × 13 × 47 × 101. Its 5 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 47 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 14,874,048
Proper Divisor Sum 8,702,948
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6171097 ← → #6171101

Radix Representation

Decimal 6171100
Binary 10111100010100111011100 (23 bits)
Octal 0o27424734
Hexadecimal 0x5E29DC

Divisor Catalog (5 of 72)

1 2 4 5 10

Collatz Trajectory (103 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.

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