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Atlas › Integer Profiles › Node 11,289,552

11,289,552

24 × 3 × 235199
Abundant Even Composite

11,289,552 factors as 2^4 × 3 × 235199. Its 20 positive divisors give a proper-divisor sum of 17,875,248, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 235199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 29,164,800
Proper Divisor Sum 17,875,248
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11289517 ← → #11289559

Radix Representation

Decimal 11289552
Binary 101011000100001111010000 (24 bits)
Octal 0o53041720
Hexadecimal 0xAC43D0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 235,199 470,398 705,597 940,796 1,411,194 1,881,592 2,822,388 3,763,184 5,644,776 11,289,552

Collatz Trajectory (153 steps to reach 1)

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

11,289,552 5,644,776 2,822,388 1,411,194 705,597 2,116,792 1,058,396 529,198 264,599 793,798 396,899 1,190,698 595,349 1,786,048 893,024 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621

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