λ
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3,969,714

2 × 3 × 7 × 47 × 2011
Abundant Even Composite

3,969,714 factors as 2 × 3 × 7 × 47 × 2011. Its 32 positive divisors give a proper-divisor sum of 5,301,582, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 47 × 2011
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,271,296
Proper Divisor Sum 5,301,582
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3969709 ← → #3969733

Radix Representation

Decimal 3969714
Binary 1111001001001010110010 (22 bits)
Octal 0o17111262
Hexadecimal 0x3C92B2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1,974 2,011 4,022 6,033 12,066 14,077 28,154 42,231 84,462 94,517 189,034 283,551 567,102 661,619 1,323,238 1,984,857 3,969,714

Collatz Trajectory (185 steps to reach 1)

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

3,969,714 1,984,857 5,954,572 2,977,286 1,488,643 4,465,930 2,232,965 6,698,896 3,349,448 1,674,724 837,362 418,681 1,256,044 628,022 314,011 942,034 471,017 1,413,052 706,526 353,263 1,059,790 529,895 1,589,686 794,843 2,384,530 1,192,265 3,576,796 1,788,398 894,199 2,682,598 1,341,299 4,023,898 2,011,949 6,035,848 3,017,924 1,508,962 754,481 2,263,444 1,131,722 565,861 1,697,584 848,792 424,396 212,198 106,099 318,298 159,149 477,448 238,724 119,362 59,681 179,044 89,522 44,761 134,284 67,142 33,571 100,714 50,357 151,072

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