6,024,975

3 × 5² × 11 × 67 × 109

6,024,975 has the prime decomposition 3 × 5^2 × 11 × 67 × 109. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 67 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,130,240

Proper Divisor Sum 5,105,265

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6024929 ← → #6024983

Radix Representation

Decimal	6024975
Binary	10110111110111100001111 (23 bits)
Octal	0o26767417
Hexadecimal	0x5BEF0F

Divisor Catalog (48)

1 3 5 11 15 25 33 55 67 75 109 165 201 275 327 335 545 737 825 1,005 1,199 1,635 1,675 2,211 2,725 3,597 3,685 5,025 5,995 7,303 8,175 11,055 17,985 18,425 21,909 29,975 36,515 55,275 80,333 89,925 109,545 182,575 240,999 401,665 547,725 1,204,995 2,008,325 6,024,975

Collatz Trajectory (165 steps to reach 1)

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

6,024,975 18,074,926 9,037,463 27,112,390 13,556,195 40,668,586 20,334,293 61,002,880 30,501,440 15,250,720 7,625,360 3,812,680 1,906,340 953,170 476,585 1,429,756 714,878 357,439 1,072,318 536,159 1,608,478 804,239 2,412,718 1,206,359 3,619,078 1,809,539 5,428,618 2,714,309 8,142,928 4,071,464 2,035,732 1,017,866 508,933 1,526,800 763,400 381,700 190,850 95,425 286,276 143,138 71,569 214,708 107,354 53,677 161,032 80,516 40,258 20,129 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218

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