7,667,001

3³ × 443 × 641

For 7,667,001, the 16 positive divisors have a total of 11,401,920. Removing 7,667,001 leaves 3,734,919, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 443 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,401,920

Proper Divisor Sum 3,734,919

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7666999 ← → #7667003

Radix Representation

Decimal	7667001
Binary	11101001111110100111001 (23 bits)
Octal	0o35176471
Hexadecimal	0x74FD39

Divisor Catalog (16)

1 3 9 27 443 641 1,329 1,923 3,987 5,769 11,961 17,307 283,963 851,889 2,555,667 7,667,001

Collatz Trajectory (248 steps to reach 1)

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

7,667,001 23,001,004 11,500,502 5,750,251 17,250,754 8,625,377 25,876,132 12,938,066 6,469,033 19,407,100 9,703,550 4,851,775 14,555,326 7,277,663 21,832,990 10,916,495 32,749,486 16,374,743 49,124,230 24,562,115 73,686,346 36,843,173 110,529,520 55,264,760 27,632,380 13,816,190 6,908,095 20,724,286 10,362,143 31,086,430 15,543,215 46,629,646 23,314,823 69,944,470 34,972,235 104,916,706 52,458,353 157,375,060 78,687,530 39,343,765 118,031,296 59,015,648 29,507,824 14,753,912 7,376,956 3,688,478 1,844,239 5,532,718 2,766,359 8,299,078 4,149,539 12,448,618 6,224,309 18,672,928 9,336,464 4,668,232 2,334,116 1,167,058 583,529 1,750,588

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