4,197,996

2² × 3² × 11 × 10601

4,197,996 has the prime decomposition 2^2 × 3^2 × 11 × 10601. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 10601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 11,577,384

Proper Divisor Sum 7,379,388

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4197967 ← → #4198003

Radix Representation

Decimal	4197996
Binary	10000000000111001101100 (23 bits)
Octal	0o20007154
Hexadecimal	0x400E6C

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10,601 21,202 31,803 42,404 63,606 95,409 116,611 127,212 190,818 233,222 349,833 381,636 466,444 699,666 1,049,499 1,399,332 2,098,998 4,197,996

Collatz Trajectory (105 steps to reach 1)

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

4,197,996 2,098,998 1,049,499 3,148,498 1,574,249 4,722,748 2,361,374 1,180,687 3,542,062 1,771,031 5,313,094 2,656,547 7,969,642 3,984,821 11,954,464 5,977,232 2,988,616 1,494,308 747,154 373,577 1,120,732 560,366 280,183 840,550 420,275 1,260,826 630,413 1,891,240 945,620 472,810 236,405 709,216 354,608 177,304 88,652 44,326 22,163 66,490 33,245 99,736 49,868 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740

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