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Atlas › Integer Profiles › Node 9,109,212

9,109,212

22 × 3 × 7 × 17 × 6379
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 6379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,724,160
Proper Divisor Sum 16,614,948
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9109207 ← → #9109223

Radix Representation

Decimal 9109212
Binary 100010101111111011011100 (24 bits)
Octal 0o42577334
Hexadecimal 0x8AFEDC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1,428 6,379 12,758 19,137 25,516 38,274 44,653 76,548 89,306 108,443 133,959 178,612 216,886 267,918 325,329 433,772 535,836 650,658 759,101 1,301,316 1,518,202 2,277,303 3,036,404 4,554,606 9,109,212

Collatz Trajectory (199 steps to reach 1)

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

9,109,212 4,554,606 2,277,303 6,831,910 3,415,955 10,247,866 5,123,933 15,371,800 7,685,900 3,842,950 1,921,475 5,764,426 2,882,213 8,646,640 4,323,320 2,161,660 1,080,830 540,415 1,621,246 810,623 2,431,870 1,215,935 3,647,806 1,823,903 5,471,710 2,735,855 8,207,566 4,103,783 12,311,350 6,155,675 18,467,026 9,233,513 27,700,540 13,850,270 6,925,135 20,775,406 10,387,703 31,163,110 15,581,555 46,744,666 23,372,333 70,117,000 35,058,500 17,529,250 8,764,625 26,293,876 13,146,938 6,573,469 19,720,408 9,860,204 4,930,102 2,465,051 7,395,154 3,697,577 11,092,732 5,546,366 2,773,183 8,319,550 4,159,775 12,479,326

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