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Atlas › Integer Profiles › Node 3,825,080

3,825,080

23 × 5 × 7 × 19 × 719
Abundant Even Composite

3,825,080 factors as 2^3 × 5 × 7 × 19 × 719. Its 64 positive divisors give a proper-divisor sum of 6,542,920, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 19 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,368,000
Proper Divisor Sum 6,542,920
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3825079 ← → #3825083

Radix Representation

Decimal 3825080
Binary 1110100101110110111000 (22 bits)
Octal 0o16456670
Hexadecimal 0x3A5DB8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 719 760 1,064 1,330 1,438 2,660 2,876 3,595 5,033 5,320 5,752 7,190 10,066 13,661 14,380 20,132 25,165 27,322 28,760 40,264 50,330 54,644 68,305 95,627 100,660 109,288 136,610 191,254 201,320 273,220 382,508 478,135 546,440

Collatz Trajectory (172 steps to reach 1)

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

3,825,080 1,912,540 956,270 478,135 1,434,406 717,203 2,151,610 1,075,805 3,227,416 1,613,708 806,854 403,427 1,210,282 605,141 1,815,424 907,712 453,856 226,928 113,464 56,732 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348 674

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