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Atlas › Integer Profiles › Node 20,042,748

20,042,748

22 × 33 × 11 × 16871
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 16871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,689,920
Proper Divisor Sum 36,647,172
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20042747 ← → #20042791

Radix Representation

Decimal 20042748
Binary 1001100011101001111111100 (25 bits)
Octal 0o114351774
Hexadecimal 0x131D3FC

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 16,871 33,742 50,613 67,484 101,226 151,839 185,581 202,452 303,678 371,162 455,517 556,743 607,356 742,324 911,034 1,113,486 1,670,229 1,822,068 2,226,972 3,340,458 5,010,687 6,680,916 10,021,374 20,042,748

Collatz Trajectory (164 steps to reach 1)

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

20,042,748 10,021,374 5,010,687 15,032,062 7,516,031 22,548,094 11,274,047 33,822,142 16,911,071 50,733,214 25,366,607 76,099,822 38,049,911 114,149,734 57,074,867 171,224,602 85,612,301 256,836,904 128,418,452 64,209,226 32,104,613 96,313,840 48,156,920 24,078,460 12,039,230 6,019,615 18,058,846 9,029,423 27,088,270 13,544,135 40,632,406 20,316,203 60,948,610 30,474,305 91,422,916 45,711,458 22,855,729 68,567,188 34,283,594 17,141,797 51,425,392 25,712,696 12,856,348 6,428,174 3,214,087 9,642,262 4,821,131 14,463,394 7,231,697 21,695,092 10,847,546 5,423,773 16,271,320 8,135,660 4,067,830 2,033,915 6,101,746 3,050,873 9,152,620 4,576,310

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