λ
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Atlas › Integer Profiles › Node 18,044,070

18,044,070

2 × 3 × 5 × 11 × 54679
Abundant Even Composite

18,044,070 factors as 2 × 3 × 5 × 11 × 54679. Its 32 positive divisors give a proper-divisor sum of 29,199,450, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 54679
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,243,520
Proper Divisor Sum 29,199,450
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #18044069 ← → #18044107

Radix Representation

Decimal 18044070
Binary 1000100110101010010100110 (25 bits)
Octal 0o104652246
Hexadecimal 0x11354A6

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 54,679 109,358 164,037 273,395 328,074 546,790 601,469 820,185 1,202,938 1,640,370 1,804,407 3,007,345 3,608,814 6,014,690 9,022,035 18,044,070

Collatz Trajectory (112 steps to reach 1)

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

18,044,070 9,022,035 27,066,106 13,533,053 40,599,160 20,299,580 10,149,790 5,074,895 15,224,686 7,612,343 22,837,030 11,418,515 34,255,546 17,127,773 51,383,320 25,691,660 12,845,830 6,422,915 19,268,746 9,634,373 28,903,120 14,451,560 7,225,780 3,612,890 1,806,445 5,419,336 2,709,668 1,354,834 677,417 2,032,252 1,016,126 508,063 1,524,190 762,095 2,286,286 1,143,143 3,429,430 1,714,715 5,144,146 2,572,073 7,716,220 3,858,110 1,929,055 5,787,166 2,893,583 8,680,750 4,340,375 13,021,126 6,510,563 19,531,690 9,765,845 29,297,536 14,648,768 7,324,384 3,662,192 1,831,096 915,548 457,774 228,887 686,662

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