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Atlas › Integer Profiles › Node 6,661,270

6,661,270

2 × 5 × 7 × 11 × 41 × 211
Abundant Even Composite

6,661,270 factors as 2 × 5 × 7 × 11 × 41 × 211. Its 64 positive divisors give a proper-divisor sum of 8,724,842, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 41 × 211
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,386,112
Proper Divisor Sum 8,724,842
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6661243 ← → #6661273

Radix Representation

Decimal 6661270
Binary 11001011010010010010110 (23 bits)
Octal 0o31322226
Hexadecimal 0x65A496

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 154 205 211 287 385 410 422 451 574 770 902 1,055 1,435 1,477 2,110 2,255 2,321 2,870 2,954 3,157 4,510 4,642 6,314 7,385 8,651 11,605 14,770 15,785 16,247 17,302 23,210 31,570 32,494 43,255 60,557 81,235 86,510 95,161 121,114 162,470 190,322 302,785 475,805 605,570 666,127

Collatz Trajectory (165 steps to reach 1)

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

6,661,270 3,330,635 9,991,906 4,995,953 14,987,860 7,493,930 3,746,965 11,240,896 5,620,448 2,810,224 1,405,112 702,556 351,278 175,639 526,918 263,459 790,378 395,189 1,185,568 592,784 296,392 148,196 74,098 37,049 111,148 55,574 27,787 83,362 41,681 125,044 62,522 31,261 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280

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