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Atlas › Integer Profiles › Node 38,017,674

38,017,674

2 × 34 × 109 × 2153
Abundant Even Composite

38,017,674 factors as 2 × 3^4 × 109 × 2153. Its 40 positive divisors give a proper-divisor sum of 47,991,546, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 109 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,009,220
Proper Divisor Sum 47,991,546
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #38017669 ← → #38017691

Radix Representation

Decimal 38017674
Binary 10010001000001101010001010 (26 bits)
Octal 0o221015212
Hexadecimal 0x2441A8A

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1,962 2,153 2,943 4,306 5,886 6,459 8,829 12,918 17,658 19,377 38,754 58,131 116,262 174,393 234,677 348,786 469,354 704,031 1,408,062 2,112,093 4,224,186 6,336,279 12,672,558 19,008,837 38,017,674

Collatz Trajectory (126 steps to reach 1)

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

38,017,674 19,008,837 57,026,512 28,513,256 14,256,628 7,128,314 3,564,157 10,692,472 5,346,236 2,673,118 1,336,559 4,009,678 2,004,839 6,014,518 3,007,259 9,021,778 4,510,889 13,532,668 6,766,334 3,383,167 10,149,502 5,074,751 15,224,254 7,612,127 22,836,382 11,418,191 34,254,574 17,127,287 51,381,862 25,690,931 77,072,794 38,536,397 115,609,192 57,804,596 28,902,298 14,451,149 43,353,448 21,676,724 10,838,362 5,419,181 16,257,544 8,128,772 4,064,386 2,032,193 6,096,580 3,048,290 1,524,145 4,572,436 2,286,218 1,143,109 3,429,328 1,714,664 857,332 428,666 214,333 643,000 321,500 160,750 80,375 241,126

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