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Atlas › Integer Profiles › Node 32,016,160

32,016,160

25 × 5 × 11 × 18191
Abundant Even Composite

32,016,160 factors as 2^5 × 5 × 11 × 18191. Its 48 positive divisors give a proper-divisor sum of 50,502,752, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 18191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,518,912
Proper Divisor Sum 50,502,752
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32016157 ← → #32016163

Radix Representation

Decimal 32016160
Binary 1111010001000011100100000 (25 bits)
Octal 0o172103440
Hexadecimal 0x1E88720

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1,760 18,191 36,382 72,764 90,955 145,528 181,910 200,101 291,056 363,820 400,202 582,112 727,640 800,404 1,000,505 1,455,280 1,600,808 2,001,010 2,910,560 3,201,616 4,002,020 6,403,232 8,004,040 16,008,080 32,016,160

Collatz Trajectory (95 steps to reach 1)

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

32,016,160 16,008,080 8,004,040 4,002,020 2,001,010 1,000,505 3,001,516 1,500,758 750,379 2,251,138 1,125,569 3,376,708 1,688,354 844,177 2,532,532 1,266,266 633,133 1,899,400 949,700 474,850 237,425 712,276 356,138 178,069 534,208 267,104 133,552 66,776 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856

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