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Atlas › Integer Profiles › Node 6,561,390

6,561,390

2 × 3 × 5 × 11 × 59 × 337
Abundant Even Composite

6,561,390 factors as 2 × 3 × 5 × 11 × 59 × 337. Its 64 positive divisors give a proper-divisor sum of 10,960,530, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 59 × 337
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,521,920
Proper Divisor Sum 10,960,530
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6561383 ← → #6561427

Radix Representation

Decimal 6561390
Binary 11001000001111001101110 (23 bits)
Octal 0o31017156
Hexadecimal 0x641E6E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 337 354 590 649 674 885 1,011 1,298 1,685 1,770 1,947 2,022 3,245 3,370 3,707 3,894 5,055 6,490 7,414 9,735 10,110 11,121 18,535 19,470 19,883 22,242 37,070 39,766 55,605 59,649 99,415 111,210 119,298 198,830 218,713 298,245 437,426 596,490 656,139 1,093,565

Collatz Trajectory (240 steps to reach 1)

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

6,561,390 3,280,695 9,842,086 4,921,043 14,763,130 7,381,565 22,144,696 11,072,348 5,536,174 2,768,087 8,304,262 4,152,131 12,456,394 6,228,197 18,684,592 9,342,296 4,671,148 2,335,574 1,167,787 3,503,362 1,751,681 5,255,044 2,627,522 1,313,761 3,941,284 1,970,642 985,321 2,955,964 1,477,982 738,991 2,216,974 1,108,487 3,325,462 1,662,731 4,988,194 2,494,097 7,482,292 3,741,146 1,870,573 5,611,720 2,805,860 1,402,930 701,465 2,104,396 1,052,198 526,099 1,578,298 789,149 2,367,448 1,183,724 591,862 295,931 887,794 443,897 1,331,692 665,846 332,923 998,770 499,385 1,498,156

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