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Atlas › Integer Profiles › Node 12,371,324

12,371,324

22 × 73 × 71 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^3 × 71 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,804,800
Proper Divisor Sum 13,433,476
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #12371323 ← → #12371347

Radix Representation

Decimal 12371324
Binary 101111001100010101111100 (24 bits)
Octal 0o57142574
Hexadecimal 0xBCC57C

Divisor Catalog (48)

1 2 4 7 14 28 49 71 98 127 142 196 254 284 343 497 508 686 889 994 1,372 1,778 1,988 3,479 3,556 6,223 6,958 9,017 12,446 13,916 18,034 24,353 24,892 36,068 43,561 48,706 63,119 87,122 97,412 126,238 174,244 252,476 441,833 883,666 1,767,332 3,092,831 6,185,662 12,371,324

Collatz Trajectory (140 steps to reach 1)

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

12,371,324 6,185,662 3,092,831 9,278,494 4,639,247 13,917,742 6,958,871 20,876,614 10,438,307 31,314,922 15,657,461 46,972,384 23,486,192 11,743,096 5,871,548 2,935,774 1,467,887 4,403,662 2,201,831 6,605,494 3,302,747 9,908,242 4,954,121 14,862,364 7,431,182 3,715,591 11,146,774 5,573,387 16,720,162 8,360,081 25,080,244 12,540,122 6,270,061 18,810,184 9,405,092 4,702,546 2,351,273 7,053,820 3,526,910 1,763,455 5,290,366 2,645,183 7,935,550 3,967,775 11,903,326 5,951,663 17,854,990 8,927,495 26,782,486 13,391,243 40,173,730 20,086,865 60,260,596 30,130,298 15,065,149 45,195,448 22,597,724 11,298,862 5,649,431 16,948,294

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