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Atlas › Integer Profiles › Node 7,052,562

7,052,562

2 × 33 × 11 × 31 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 31 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,694,720
Proper Divisor Sum 10,642,158
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7052561 ← → #7052581

Radix Representation

Decimal 7052562
Binary 11010111001110100010010 (23 bits)
Octal 0o32716422
Hexadecimal 0x6B9D12

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 383 558 594 682 766 837 1,023 1,149 1,674 2,046 2,298 3,069 3,447 4,213 6,138 6,894 8,426 9,207 10,341 11,873 12,639 18,414 20,682 23,746 25,278 35,619 37,917 71,238 75,834 106,857 113,751 130,603 213,714 227,502 261,206 320,571 391,809 641,142 783,618

Collatz Trajectory (173 steps to reach 1)

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

7,052,562 3,526,281 10,578,844 5,289,422 2,644,711 7,934,134 3,967,067 11,901,202 5,950,601 17,851,804 8,925,902 4,462,951 13,388,854 6,694,427 20,083,282 10,041,641 30,124,924 15,062,462 7,531,231 22,593,694 11,296,847 33,890,542 16,945,271 50,835,814 25,417,907 76,253,722 38,126,861 114,380,584 57,190,292 28,595,146 14,297,573 42,892,720 21,446,360 10,723,180 5,361,590 2,680,795 8,042,386 4,021,193 12,063,580 6,031,790 3,015,895 9,047,686 4,523,843 13,571,530 6,785,765 20,357,296 10,178,648 5,089,324 2,544,662 1,272,331 3,816,994 1,908,497 5,725,492 2,862,746 1,431,373 4,294,120 2,147,060 1,073,530 536,765 1,610,296

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