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Atlas › Integer Profiles › Node 11,675,565

11,675,565

32 × 5 × 11 × 103 × 229
Deficient Odd Composite

11,675,565 factors as 3^2 × 5 × 11 × 103 × 229. Its 48 positive divisors give a proper-divisor sum of 10,713,555, so this integer is deficient. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 103 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,389,120
Proper Divisor Sum 10,713,555
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11675539 ← → #11675567

Radix Representation

Decimal 11675565
Binary 101100100010011110101101 (24 bits)
Octal 0o54423655
Hexadecimal 0xB227AD

Divisor Catalog (48)

1 3 5 9 11 15 33 45 55 99 103 165 229 309 495 515 687 927 1,133 1,145 1,545 2,061 2,519 3,399 3,435 4,635 5,665 7,557 10,197 10,305 12,595 16,995 22,671 23,587 37,785 50,985 70,761 113,355 117,935 212,283 259,457 353,805 778,371 1,061,415 1,297,285 2,335,113 3,891,855 11,675,565

Collatz Trajectory (321 steps to reach 1)

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

11,675,565 35,026,696 17,513,348 8,756,674 4,378,337 13,135,012 6,567,506 3,283,753 9,851,260 4,925,630 2,462,815 7,388,446 3,694,223 11,082,670 5,541,335 16,624,006 8,312,003 24,936,010 12,468,005 37,404,016 18,702,008 9,351,004 4,675,502 2,337,751 7,013,254 3,506,627 10,519,882 5,259,941 15,779,824 7,889,912 3,944,956 1,972,478 986,239 2,958,718 1,479,359 4,438,078 2,219,039 6,657,118 3,328,559 9,985,678 4,992,839 14,978,518 7,489,259 22,467,778 11,233,889 33,701,668 16,850,834 8,425,417 25,276,252 12,638,126 6,319,063 18,957,190 9,478,595 28,435,786 14,217,893 42,653,680 21,326,840 10,663,420 5,331,710 2,665,855

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