8,740,971

3² × 433 × 2243

8,740,971 factors as 3^2 × 433 × 2243. Its 12 positive divisors give a proper-divisor sum of 3,919,677, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 3^2 × 433 × 2243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,660,648

Proper Divisor Sum 3,919,677

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8740951 ← → #8740993

Radix Representation

Decimal	8740971
Binary	100001010110000001101011 (24 bits)
Octal	0o41260153
Hexadecimal	0x85606B

Divisor Catalog (12)

1 3 9 433 1,299 2,243 3,897 6,729 20,187 971,219 2,913,657 8,740,971

Collatz Trajectory (212 steps to reach 1)

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

8,740,971 26,222,914 13,111,457 39,334,372 19,667,186 9,833,593 29,500,780 14,750,390 7,375,195 22,125,586 11,062,793 33,188,380 16,594,190 8,297,095 24,891,286 12,445,643 37,336,930 18,668,465 56,005,396 28,002,698 14,001,349 42,004,048 21,002,024 10,501,012 5,250,506 2,625,253 7,875,760 3,937,880 1,968,940 984,470 492,235 1,476,706 738,353 2,215,060 1,107,530 553,765 1,661,296 830,648 415,324 207,662 103,831 311,494 155,747 467,242 233,621 700,864 350,432 175,216 87,608 43,804 21,902 10,951 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444

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