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Atlas › Integer Profiles › Node 3,935,844

3,935,844

22 × 33 × 11 × 3313
Abundant Even Composite

3,935,844 factors as 2^2 × 3^3 × 11 × 3313. Its 48 positive divisors give a proper-divisor sum of 7,199,196, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 3313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,135,040
Proper Divisor Sum 7,199,196
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3935839 ← → #3935861

Radix Representation

Decimal 3935844
Binary 1111000000111001100100 (22 bits)
Octal 0o17007144
Hexadecimal 0x3C0E64

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 3,313 6,626 9,939 13,252 19,878 29,817 36,443 39,756 59,634 72,886 89,451 109,329 119,268 145,772 178,902 218,658 327,987 357,804 437,316 655,974 983,961 1,311,948 1,967,922 3,935,844

Collatz Trajectory (141 steps to reach 1)

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

3,935,844 1,967,922 983,961 2,951,884 1,475,942 737,971 2,213,914 1,106,957 3,320,872 1,660,436 830,218 415,109 1,245,328 622,664 311,332 155,666 77,833 233,500 116,750 58,375 175,126 87,563 262,690 131,345 394,036 197,018 98,509 295,528 147,764 73,882 36,941 110,824 55,412 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700

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