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Atlas › Integer Profiles › Node 11,428,020

11,428,020

22 × 33 × 5 × 21163
Abundant Even Composite

11,428,020 factors as 2^2 × 3^3 × 5 × 21163. Its 48 positive divisors give a proper-divisor sum of 24,127,500, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 21163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,555,520
Proper Divisor Sum 24,127,500
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11428009 ← → #11428037

Radix Representation

Decimal 11428020
Binary 101011100110000010110100 (24 bits)
Octal 0o53460264
Hexadecimal 0xAE60B4

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 21,163 42,326 63,489 84,652 105,815 126,978 190,467 211,630 253,956 317,445 380,934 423,260 571,401 634,890 761,868 952,335 1,142,802 1,269,780 1,904,670 2,285,604 2,857,005 3,809,340 5,714,010 11,428,020

Collatz Trajectory (153 steps to reach 1)

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

11,428,020 5,714,010 2,857,005 8,571,016 4,285,508 2,142,754 1,071,377 3,214,132 1,607,066 803,533 2,410,600 1,205,300 602,650 301,325 903,976 451,988 225,994 112,997 338,992 169,496 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015

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