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Atlas › Integer Profiles › Node 20,041,884

20,041,884

22 × 33 × 19 × 9767
Abundant Even Composite

20,041,884 factors as 2^2 × 3^3 × 19 × 9767. Its 48 positive divisors give a proper-divisor sum of 34,658,916, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 9767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,700,800
Proper Divisor Sum 34,658,916
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20041873 ← → #20041891

Radix Representation

Decimal 20041884
Binary 1001100011101000010011100 (25 bits)
Octal 0o114350234
Hexadecimal 0x131D09C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 2,052 9,767 19,534 29,301 39,068 58,602 87,903 117,204 175,806 185,573 263,709 351,612 371,146 527,418 556,719 742,292 1,054,836 1,113,438 1,670,157 2,226,876 3,340,314 5,010,471 6,680,628 10,020,942 20,041,884

Collatz Trajectory (190 steps to reach 1)

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

20,041,884 10,020,942 5,010,471 15,031,414 7,515,707 22,547,122 11,273,561 33,820,684 16,910,342 8,455,171 25,365,514 12,682,757 38,048,272 19,024,136 9,512,068 4,756,034 2,378,017 7,134,052 3,567,026 1,783,513 5,350,540 2,675,270 1,337,635 4,012,906 2,006,453 6,019,360 3,009,680 1,504,840 752,420 376,210 188,105 564,316 282,158 141,079 423,238 211,619 634,858 317,429 952,288 476,144 238,072 119,036 59,518 29,759 89,278 44,639 133,918 66,959 200,878 100,439 301,318 150,659 451,978 225,989 677,968 338,984 169,492 84,746 42,373 127,120

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