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Atlas › Integer Profiles › Node 1,667,550

1,667,550

2 × 3 × 52 × 11117
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,135,896
Proper Divisor Sum 2,468,346
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1667543 ← → #1667551

Radix Representation

Decimal 1667550
Binary 110010111000111011110 (21 bits)
Octal 0o6270736
Hexadecimal 0x1971DE

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 11,117 22,234 33,351 55,585 66,702 111,170 166,755 277,925 333,510 555,850 833,775 1,667,550

Collatz Trajectory (357 steps to reach 1)

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

1,667,550 833,775 2,501,326 1,250,663 3,751,990 1,875,995 5,627,986 2,813,993 8,441,980 4,220,990 2,110,495 6,331,486 3,165,743 9,497,230 4,748,615 14,245,846 7,122,923 21,368,770 10,684,385 32,053,156 16,026,578 8,013,289 24,039,868 12,019,934 6,009,967 18,029,902 9,014,951 27,044,854 13,522,427 40,567,282 20,283,641 60,850,924 30,425,462 15,212,731 45,638,194 22,819,097 68,457,292 34,228,646 17,114,323 51,342,970 25,671,485 77,014,456 38,507,228 19,253,614 9,626,807 28,880,422 14,440,211 43,320,634 21,660,317 64,980,952 32,490,476 16,245,238 8,122,619 24,367,858 12,183,929 36,551,788 18,275,894 9,137,947 27,413,842 13,706,921

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