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Atlas › Integer Profiles › Node 53,568,160

53,568,160

25 × 5 × 53 × 6317
Abundant Even Composite

53,568,160 factors as 2^5 × 5 × 53 × 6317. Its 48 positive divisors give a proper-divisor sum of 75,394,856, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 53 × 6317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,963,016
Proper Divisor Sum 75,394,856
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #53568113 ← → #53568161

Radix Representation

Decimal 53568160
Binary 11001100010110001010100000 (26 bits)
Octal 0o314261240
Hexadecimal 0x33162A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1,060 1,696 2,120 4,240 6,317 8,480 12,634 25,268 31,585 50,536 63,170 101,072 126,340 202,144 252,680 334,801 505,360 669,602 1,010,720 1,339,204 1,674,005 2,678,408 3,348,010 5,356,816 6,696,020 10,713,632 13,392,040 26,784,080 53,568,160

Collatz Trajectory (119 steps to reach 1)

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

53,568,160 26,784,080 13,392,040 6,696,020 3,348,010 1,674,005 5,022,016 2,511,008 1,255,504 627,752 313,876 156,938 78,469 235,408 117,704 58,852 29,426 14,713 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448

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