λ
Prime Ledger

6,731,142

2 × 3 × 11 × 101987
Abundant Even Composite

6,731,142 has the prime decomposition 2 × 3 × 11 × 101987. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 101987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,686,272
Proper Divisor Sum 7,955,130
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6731117 ← → #6731171

Radix Representation

Decimal 6731142
Binary 11001101011010110000110 (23 bits)
Octal 0o31532606
Hexadecimal 0x66B586

Divisor Catalog (16)

1 2 3 6 11 22 33 66 101,987 203,974 305,961 611,922 1,121,857 2,243,714 3,365,571 6,731,142

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,731,142 3,365,571 10,096,714 5,048,357 15,145,072 7,572,536 3,786,268 1,893,134 946,567 2,839,702 1,419,851 4,259,554 2,129,777 6,389,332 3,194,666 1,597,333 4,792,000 2,396,000 1,198,000 599,000 299,500 149,750 74,875 224,626 112,313 336,940 168,470 84,235 252,706 126,353 379,060 189,530 94,765 284,296 142,148 71,074 35,537 106,612 53,306 26,653 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118

More profiles

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