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Atlas › Integer Profiles › Node 3,930,174

3,930,174

2 × 33 × 73 × 997
Abundant Even Composite

3,930,174 factors as 2 × 3^3 × 73 × 997. Its 32 positive divisors give a proper-divisor sum of 4,932,066, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 73 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,862,240
Proper Divisor Sum 4,932,066
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3930139 ← → #3930191

Radix Representation

Decimal 3930174
Binary 1110111111100000111110 (22 bits)
Octal 0o16774076
Hexadecimal 0x3BF83E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 73 146 219 438 657 997 1,314 1,971 1,994 2,991 3,942 5,982 8,973 17,946 26,919 53,838 72,781 145,562 218,343 436,686 655,029 1,310,058 1,965,087 3,930,174

Collatz Trajectory (185 steps to reach 1)

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

3,930,174 1,965,087 5,895,262 2,947,631 8,842,894 4,421,447 13,264,342 6,632,171 19,896,514 9,948,257 29,844,772 14,922,386 7,461,193 22,383,580 11,191,790 5,595,895 16,787,686 8,393,843 25,181,530 12,590,765 37,772,296 18,886,148 9,443,074 4,721,537 14,164,612 7,082,306 3,541,153 10,623,460 5,311,730 2,655,865 7,967,596 3,983,798 1,991,899 5,975,698 2,987,849 8,963,548 4,481,774 2,240,887 6,722,662 3,361,331 10,083,994 5,041,997 15,125,992 7,562,996 3,781,498 1,890,749 5,672,248 2,836,124 1,418,062 709,031 2,127,094 1,063,547 3,190,642 1,595,321 4,785,964 2,392,982 1,196,491 3,589,474 1,794,737 5,384,212

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