6,609,975

3 × 5² × 31 × 2843

6,609,975 factors as 3 × 5^2 × 31 × 2843. Its 24 positive divisors give a proper-divisor sum of 4,675,017, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 2843

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,284,992

Proper Divisor Sum 4,675,017

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6609973 ← → #6609989

Radix Representation

Decimal	6609975
Binary	11001001101110000110111 (23 bits)
Octal	0o31156067
Hexadecimal	0x64DC37

Divisor Catalog (24)

Collatz Trajectory (209 steps to reach 1)

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

6,609,975 19,829,926 9,914,963 29,744,890 14,872,445 44,617,336 22,308,668 11,154,334 5,577,167 16,731,502 8,365,751 25,097,254 12,548,627 37,645,882 18,822,941 56,468,824 28,234,412 14,117,206 7,058,603 21,175,810 10,587,905 31,763,716 15,881,858 7,940,929 23,822,788 11,911,394 5,955,697 17,867,092 8,933,546 4,466,773 13,400,320 6,700,160 3,350,080 1,675,040 837,520 418,760 209,380 104,690 52,345 157,036 78,518 39,259 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926

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