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Atlas › Integer Profiles › Node 10,810,160

10,810,160

24 × 5 × 163 × 829
Abundant Even Composite

10,810,160 factors as 2^4 × 5 × 163 × 829. Its 40 positive divisors give a proper-divisor sum of 14,508,160, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 163 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,318,320
Proper Divisor Sum 14,508,160
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10810139 ← → #10810171

Radix Representation

Decimal 10810160
Binary 101001001111001100110000 (24 bits)
Octal 0o51171460
Hexadecimal 0xA4F330

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 163 326 652 815 829 1,304 1,630 1,658 2,608 3,260 3,316 4,145 6,520 6,632 8,290 13,040 13,264 16,580 33,160 66,320 135,127 270,254 540,508 675,635 1,081,016 1,351,270 2,162,032 2,702,540 5,405,080 10,810,160

Collatz Trajectory (114 steps to reach 1)

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

10,810,160 5,405,080 2,702,540 1,351,270 675,635 2,026,906 1,013,453 3,040,360 1,520,180 760,090 380,045 1,140,136 570,068 285,034 142,517 427,552 213,776 106,888 53,444 26,722 13,361 40,084 20,042 10,021 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319

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