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Atlas › Integer Profiles › Node 41,728,270

41,728,270

2 × 5 × 61 × 67 × 1021
Deficient Even Composite

41,728,270 factors as 2 × 5 × 61 × 67 × 1021. Its 32 positive divisors give a proper-divisor sum of 35,829,266, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 67 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,557,536
Proper Divisor Sum 35,829,266
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41728259 ← → #41728277

Radix Representation

Decimal 41728270
Binary 10011111001011100100001110 (26 bits)
Octal 0o237134416
Hexadecimal 0x27CB90E

Divisor Catalog (32)

1 2 5 10 61 67 122 134 305 335 610 670 1,021 2,042 4,087 5,105 8,174 10,210 20,435 40,870 62,281 68,407 124,562 136,814 311,405 342,035 622,810 684,070 4,172,827 8,345,654 20,864,135 41,728,270

Collatz Trajectory (160 steps to reach 1)

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

41,728,270 20,864,135 62,592,406 31,296,203 93,888,610 46,944,305 140,832,916 70,416,458 35,208,229 105,624,688 52,812,344 26,406,172 13,203,086 6,601,543 19,804,630 9,902,315 29,706,946 14,853,473 44,560,420 22,280,210 11,140,105 33,420,316 16,710,158 8,355,079 25,065,238 12,532,619 37,597,858 18,798,929 56,396,788 28,198,394 14,099,197 42,297,592 21,148,796 10,574,398 5,287,199 15,861,598 7,930,799 23,792,398 11,896,199 35,688,598 17,844,299 53,532,898 26,766,449 80,299,348 40,149,674 20,074,837 60,224,512 30,112,256 15,056,128 7,528,064 3,764,032 1,882,016 941,008 470,504 235,252 117,626 58,813 176,440 88,220 44,110

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