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Atlas › Integer Profiles › Node 16,980,020

16,980,020

22 × 5 × 109 × 7789
Abundant Even Composite

16,980,020 factors as 2^2 × 5 × 109 × 7789. Its 24 positive divisors give a proper-divisor sum of 19,009,780, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 109 × 7789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,989,800
Proper Divisor Sum 19,009,780
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #16980017 ← → #16980031

Radix Representation

Decimal 16980020
Binary 1000000110001100000110100 (25 bits)
Octal 0o100614064
Hexadecimal 0x1031834

Divisor Catalog (24)

1 2 4 5 10 20 109 218 436 545 1,090 2,180 7,789 15,578 31,156 38,945 77,890 155,780 849,001 1,698,002 3,396,004 4,245,005 8,490,010 16,980,020

Collatz Trajectory (200 steps to reach 1)

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

16,980,020 8,490,010 4,245,005 12,735,016 6,367,508 3,183,754 1,591,877 4,775,632 2,387,816 1,193,908 596,954 298,477 895,432 447,716 223,858 111,929 335,788 167,894 83,947 251,842 125,921 377,764 188,882 94,441 283,324 141,662 70,831 212,494 106,247 318,742 159,371 478,114 239,057 717,172 358,586 179,293 537,880 268,940 134,470 67,235 201,706 100,853 302,560 151,280 75,640 37,820 18,910 9,455 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710

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