λ
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Atlas › Integer Profiles › Node 20,028,040

20,028,040

23 × 5 × 17 × 29453
Abundant Even Composite

20,028,040 factors as 2^3 × 5 × 17 × 29453. Its 32 positive divisors give a proper-divisor sum of 27,687,440, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 29453
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,715,480
Proper Divisor Sum 27,687,440
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20028031 ← → #20028053

Radix Representation

Decimal 20028040
Binary 1001100011001101010001000 (25 bits)
Octal 0o114315210
Hexadecimal 0x1319A88

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 29,453 58,906 117,812 147,265 235,624 294,530 500,701 589,060 1,001,402 1,178,120 2,002,804 2,503,505 4,005,608 5,007,010 10,014,020 20,028,040

Collatz Trajectory (138 steps to reach 1)

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

20,028,040 10,014,020 5,007,010 2,503,505 7,510,516 3,755,258 1,877,629 5,632,888 2,816,444 1,408,222 704,111 2,112,334 1,056,167 3,168,502 1,584,251 4,752,754 2,376,377 7,129,132 3,564,566 1,782,283 5,346,850 2,673,425 8,020,276 4,010,138 2,005,069 6,015,208 3,007,604 1,503,802 751,901 2,255,704 1,127,852 563,926 281,963 845,890 422,945 1,268,836 634,418 317,209 951,628 475,814 237,907 713,722 356,861 1,070,584 535,292 267,646 133,823 401,470 200,735 602,206 301,103 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169

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