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Atlas › Integer Profiles › Node 6,990,786

6,990,786

2 × 34 × 11 × 3923
Abundant Even Composite

6,990,786 factors as 2 × 3^4 × 11 × 3923. Its 40 positive divisors give a proper-divisor sum of 10,102,158, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 3923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,092,944
Proper Divisor Sum 10,102,158
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6990761 ← → #6990799

Radix Representation

Decimal 6990786
Binary 11010101010101111000010 (23 bits)
Octal 0o32525702
Hexadecimal 0x6AABC2

Divisor Catalog (40)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1,782 3,923 7,846 11,769 23,538 35,307 43,153 70,614 86,306 105,921 129,459 211,842 258,918 317,763 388,377 635,526 776,754 1,165,131 2,330,262 3,495,393 6,990,786

Collatz Trajectory (266 steps to reach 1)

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

6,990,786 3,495,393 10,486,180 5,243,090 2,621,545 7,864,636 3,932,318 1,966,159 5,898,478 2,949,239 8,847,718 4,423,859 13,271,578 6,635,789 19,907,368 9,953,684 4,976,842 2,488,421 7,465,264 3,732,632 1,866,316 933,158 466,579 1,399,738 699,869 2,099,608 1,049,804 524,902 262,451 787,354 393,677 1,181,032 590,516 295,258 147,629 442,888 221,444 110,722 55,361 166,084 83,042 41,521 124,564 62,282 31,141 93,424 46,712 23,356 11,678 5,839 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391

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