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Atlas › Integer Profiles › Node 9,366,168

9,366,168

23 × 3 × 7 × 197 × 283
Abundant Even Composite

9,366,168 factors as 2^3 × 3 × 7 × 197 × 283. Its 64 positive divisors give a proper-divisor sum of 17,625,192, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 197 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,991,360
Proper Divisor Sum 17,625,192
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9366151 ← → #9366169

Radix Representation

Decimal 9366168
Binary 100011101110101010011000 (24 bits)
Octal 0o43565230
Hexadecimal 0x8EEA98

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 283 394 566 591 788 849 1,132 1,182 1,379 1,576 1,698 1,981 2,264 2,364 2,758 3,396 3,962 4,137 4,728 5,516 5,943 6,792 7,924 8,274 11,032 11,886 15,848 16,548 23,772 33,096 47,544 55,751 111,502 167,253 223,004 334,506 390,257 446,008 669,012 780,514 1,170,771 1,338,024 1,561,028

Collatz Trajectory (132 steps to reach 1)

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

9,366,168 4,683,084 2,341,542 1,170,771 3,512,314 1,756,157 5,268,472 2,634,236 1,317,118 658,559 1,975,678 987,839 2,963,518 1,481,759 4,445,278 2,222,639 6,667,918 3,333,959 10,001,878 5,000,939 15,002,818 7,501,409 22,504,228 11,252,114 5,626,057 16,878,172 8,439,086 4,219,543 12,658,630 6,329,315 18,987,946 9,493,973 28,481,920 14,240,960 7,120,480 3,560,240 1,780,120 890,060 445,030 222,515 667,546 333,773 1,001,320 500,660 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901

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