λ
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2,250,380

22 × 5 × 11 × 53 × 193
Abundant Even Composite

2,250,380 factors as 2^2 × 5 × 11 × 53 × 193. Its 48 positive divisors give a proper-divisor sum of 3,029,524, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 53 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,279,904
Proper Divisor Sum 3,029,524
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2250359 ← → #2250397

Radix Representation

Decimal 2250380
Binary 1000100101011010001100 (22 bits)
Octal 0o10453214
Hexadecimal 0x22568C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 53 55 106 110 193 212 220 265 386 530 583 772 965 1,060 1,166 1,930 2,123 2,332 2,915 3,860 4,246 5,830 8,492 10,229 10,615 11,660 20,458 21,230 40,916 42,460 51,145 102,290 112,519 204,580 225,038 450,076 562,595 1,125,190 2,250,380

Collatz Trajectory (86 steps to reach 1)

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

2,250,380 1,125,190 562,595 1,687,786 843,893 2,531,680 1,265,840 632,920 316,460 158,230 79,115 237,346 118,673 356,020 178,010 89,005 267,016 133,508 66,754 33,377 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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