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Atlas › Integer Profiles › Node 7,009,986

7,009,986

2 × 3 × 23 × 79 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 23 × 79 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,837,760
Proper Divisor Sum 7,827,774
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7009979 ← → #7009991

Radix Representation

Decimal 7009986
Binary 11010101111011011000010 (23 bits)
Octal 0o32573302
Hexadecimal 0x6AF6C2

Divisor Catalog (32)

1 2 3 6 23 46 69 79 138 158 237 474 643 1,286 1,817 1,929 3,634 3,858 5,451 10,902 14,789 29,578 44,367 50,797 88,734 101,594 152,391 304,782 1,168,331 2,336,662 3,504,993 7,009,986

Collatz Trajectory (266 steps to reach 1)

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

7,009,986 3,504,993 10,514,980 5,257,490 2,628,745 7,886,236 3,943,118 1,971,559 5,914,678 2,957,339 8,872,018 4,436,009 13,308,028 6,654,014 3,327,007 9,981,022 4,990,511 14,971,534 7,485,767 22,457,302 11,228,651 33,685,954 16,842,977 50,528,932 25,264,466 12,632,233 37,896,700 18,948,350 9,474,175 28,422,526 14,211,263 42,633,790 21,316,895 63,950,686 31,975,343 95,926,030 47,963,015 143,889,046 71,944,523 215,833,570 107,916,785 323,750,356 161,875,178 80,937,589 242,812,768 121,406,384 60,703,192 30,351,596 15,175,798 7,587,899 22,763,698 11,381,849 34,145,548 17,072,774 8,536,387 25,609,162 12,804,581 38,413,744 19,206,872 9,603,436

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