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Atlas › Integer Profiles › Node 39,190,080

39,190,080

26 × 3 × 5 × 40823
Abundant Even Composite

39,190,080 factors as 2^6 × 3 × 5 × 40823. Its 56 positive divisors give a proper-divisor sum of 85,241,472, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 40823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 124,431,552
Proper Divisor Sum 85,241,472
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #39190079 ← → #39190093

Radix Representation

Decimal 39190080
Binary 10010101011111111001000000 (26 bits)
Octal 0o225377100
Hexadecimal 0x255FE40

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 40,823 81,646 122,469 163,292 204,115 244,938 326,584 408,230 489,876 612,345 653,168 816,460 979,752 1,224,690 1,306,336 1,632,920 1,959,504 2,449,380 2,612,672 3,265,840 3,919,008 4,898,760 6,531,680 7,838,016 9,797,520 13,063,360 19,595,040 39,190,080

Collatz Trajectory (121 steps to reach 1)

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

39,190,080 19,595,040 9,797,520 4,898,760 2,449,380 1,224,690 612,345 1,837,036 918,518 459,259 1,377,778 688,889 2,066,668 1,033,334 516,667 1,550,002 775,001 2,325,004 1,162,502 581,251 1,743,754 871,877 2,615,632 1,307,816 653,908 326,954 163,477 490,432 245,216 122,608 61,304 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435

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