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Atlas › Integer Profiles › Node 3,933,726

3,933,726

2 × 3 × 43 × 79 × 193
Abundant Even Composite

3,933,726 factors as 2 × 3 × 43 × 79 × 193. Its 32 positive divisors give a proper-divisor sum of 4,260,834, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 79 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,194,560
Proper Divisor Sum 4,260,834
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3933599 ← → #3933731

Radix Representation

Decimal 3933726
Binary 1111000000011000011110 (22 bits)
Octal 0o17003036
Hexadecimal 0x3C061E

Divisor Catalog (32)

1 2 3 6 43 79 86 129 158 193 237 258 386 474 579 1,158 3,397 6,794 8,299 10,191 15,247 16,598 20,382 24,897 30,494 45,741 49,794 91,482 655,621 1,311,242 1,966,863 3,933,726

Collatz Trajectory (185 steps to reach 1)

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

3,933,726 1,966,863 5,900,590 2,950,295 8,850,886 4,425,443 13,276,330 6,638,165 19,914,496 9,957,248 4,978,624 2,489,312 1,244,656 622,328 311,164 155,582 77,791 233,374 116,687 350,062 175,031 525,094 262,547 787,642 393,821 1,181,464 590,732 295,366 147,683 443,050 221,525 664,576 332,288 166,144 83,072 41,536 20,768 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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