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Atlas › Integer Profiles › Node 9,704,040

9,704,040

23 × 3 × 5 × 193 × 419
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 193 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 29,332,800
Proper Divisor Sum 19,628,760
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9704039 ← → #9704047

Radix Representation

Decimal 9704040
Binary 100101000001001001101000 (24 bits)
Octal 0o45011150
Hexadecimal 0x941268

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 419 579 772 838 965 1,158 1,257 1,544 1,676 1,930 2,095 2,316 2,514 2,895 3,352 3,860 4,190 4,632 5,028 5,790 6,285 7,720 8,380 10,056 11,580 12,570 16,760 23,160 25,140 50,280 80,867 161,734 242,601 323,468 404,335 485,202 646,936 808,670 970,404 1,213,005 1,617,340 1,940,808

Collatz Trajectory (176 steps to reach 1)

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

9,704,040 4,852,020 2,426,010 1,213,005 3,639,016 1,819,508 909,754 454,877 1,364,632 682,316 341,158 170,579 511,738 255,869 767,608 383,804 191,902 95,951 287,854 143,927 431,782 215,891 647,674 323,837 971,512 485,756 242,878 121,439 364,318 182,159 546,478 273,239 819,718 409,859 1,229,578 614,789 1,844,368 922,184 461,092 230,546 115,273 345,820 172,910 86,455 259,366 129,683 389,050 194,525 583,576 291,788 145,894 72,947 218,842 109,421 328,264 164,132 82,066 41,033 123,100 61,550

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