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Atlas › Integer Profiles › Node 2,220,984

2,220,984

23 × 32 × 109 × 283
Abundant Even Composite

2,220,984 factors as 2^3 × 3^2 × 109 × 283. Its 48 positive divisors give a proper-divisor sum of 3,870,816, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 109 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,091,800
Proper Divisor Sum 3,870,816
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2220979 ← → #2221007

Radix Representation

Decimal 2220984
Binary 1000011110001110111000 (22 bits)
Octal 0o10361670
Hexadecimal 0x21E3B8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 109 218 283 327 436 566 654 849 872 981 1,132 1,308 1,698 1,962 2,264 2,547 2,616 3,396 3,924 5,094 6,792 7,848 10,188 20,376 30,847 61,694 92,541 123,388 185,082 246,776 277,623 370,164 555,246 740,328 1,110,492 2,220,984

Collatz Trajectory (135 steps to reach 1)

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

2,220,984 1,110,492 555,246 277,623 832,870 416,435 1,249,306 624,653 1,873,960 936,980 468,490 234,245 702,736 351,368 175,684 87,842 43,921 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395

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