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Atlas › Integer Profiles › Node 19,174,000

19,174,000

24 × 53 × 9587
Abundant Even Composite

19,174,000 factors as 2^4 × 5^3 × 9587. Its 40 positive divisors give a proper-divisor sum of 27,193,568, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 9587
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 46,367,568
Proper Divisor Sum 27,193,568
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #19173967 ← → #19174003

Radix Representation

Decimal 19174000
Binary 1001001001001001001110000 (25 bits)
Octal 0o111111160
Hexadecimal 0x1249270

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 2,000 9,587 19,174 38,348 47,935 76,696 95,870 153,392 191,740 239,675 383,480 479,350 766,960 958,700 1,198,375 1,917,400 2,396,750 3,834,800 4,793,500 9,587,000 19,174,000

Collatz Trajectory (94 steps to reach 1)

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

19,174,000 9,587,000 4,793,500 2,396,750 1,198,375 3,595,126 1,797,563 5,392,690 2,696,345 8,089,036 4,044,518 2,022,259 6,066,778 3,033,389 9,100,168 4,550,084 2,275,042 1,137,521 3,412,564 1,706,282 853,141 2,559,424 1,279,712 639,856 319,928 159,964 79,982 39,991 119,974 59,987 179,962 89,981 269,944 134,972 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270

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