λ
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9,687,138

2 × 3 × 79 × 107 × 191
Abundant Even Composite

9,687,138 factors as 2 × 3 × 79 × 107 × 191. Its 32 positive divisors give a proper-divisor sum of 10,219,422, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 107 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,906,560
Proper Divisor Sum 10,219,422
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9687137 ← → #9687143

Radix Representation

Decimal 9687138
Binary 100100111101000001100010 (24 bits)
Octal 0o44750142
Hexadecimal 0x93D062

Divisor Catalog (32)

1 2 3 6 79 107 158 191 214 237 321 382 474 573 642 1,146 8,453 15,089 16,906 20,437 25,359 30,178 40,874 45,267 50,718 61,311 90,534 122,622 1,614,523 3,229,046 4,843,569 9,687,138

Collatz Trajectory (119 steps to reach 1)

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

9,687,138 4,843,569 14,530,708 7,265,354 3,632,677 10,898,032 5,449,016 2,724,508 1,362,254 681,127 2,043,382 1,021,691 3,065,074 1,532,537 4,597,612 2,298,806 1,149,403 3,448,210 1,724,105 5,172,316 2,586,158 1,293,079 3,879,238 1,939,619 5,818,858 2,909,429 8,728,288 4,364,144 2,182,072 1,091,036 545,518 272,759 818,278 409,139 1,227,418 613,709 1,841,128 920,564 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056 491,528 245,764 122,882 61,441

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