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Atlas › Integer Profiles › Node 9,766,908

9,766,908

22 × 32 × 17 × 15959
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 15959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,142,480
Proper Divisor Sum 16,375,572
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9766903 ← → #9766909

Radix Representation

Decimal 9766908
Binary 100101010000011111111100 (24 bits)
Octal 0o45203774
Hexadecimal 0x9507FC

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 15,959 31,918 47,877 63,836 95,754 143,631 191,508 271,303 287,262 542,606 574,524 813,909 1,085,212 1,627,818 2,441,727 3,255,636 4,883,454 9,766,908

Collatz Trajectory (119 steps to reach 1)

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

9,766,908 4,883,454 2,441,727 7,325,182 3,662,591 10,987,774 5,493,887 16,481,662 8,240,831 24,722,494 12,361,247 37,083,742 18,541,871 55,625,614 27,812,807 83,438,422 41,719,211 125,157,634 62,578,817 187,736,452 93,868,226 46,934,113 140,802,340 70,401,170 35,200,585 105,601,756 52,800,878 26,400,439 79,201,318 39,600,659 118,801,978 59,400,989 178,202,968 89,101,484 44,550,742 22,275,371 66,826,114 33,413,057 100,239,172 50,119,586 25,059,793 75,179,380 37,589,690 18,794,845 56,384,536 28,192,268 14,096,134 7,048,067 21,144,202 10,572,101 31,716,304 15,858,152 7,929,076 3,964,538 1,982,269 5,946,808 2,973,404 1,486,702 743,351 2,230,054

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