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Atlas › Integer Profiles › Node 5,221,044

5,221,044

22 × 33 × 29 × 1667
Abundant Even Composite

5,221,044 factors as 2^2 × 3^3 × 29 × 1667. Its 48 positive divisors give a proper-divisor sum of 8,790,156, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 29 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,011,200
Proper Divisor Sum 8,790,156
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5221039 ← → #5221049

Radix Representation

Decimal 5221044
Binary 10011111010101010110100 (23 bits)
Octal 0o23725264
Hexadecimal 0x4FAAB4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1,044 1,566 1,667 3,132 3,334 5,001 6,668 10,002 15,003 20,004 30,006 45,009 48,343 60,012 90,018 96,686 145,029 180,036 193,372 290,058 435,087 580,116 870,174 1,305,261 1,740,348 2,610,522 5,221,044

Collatz Trajectory (188 steps to reach 1)

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

5,221,044 2,610,522 1,305,261 3,915,784 1,957,892 978,946 489,473 1,468,420 734,210 367,105 1,101,316 550,658 275,329 825,988 412,994 206,497 619,492 309,746 154,873 464,620 232,310 116,155 348,466 174,233 522,700 261,350 130,675 392,026 196,013 588,040 294,020 147,010 73,505 220,516 110,258 55,129 165,388 82,694 41,347 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521

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