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4,444,188

22 × 3 × 7 × 191 × 277
Abundant Even Composite

4,444,188 factors as 2^2 × 3 × 7 × 191 × 277. Its 48 positive divisors give a proper-divisor sum of 7,512,036, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 191 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,956,224
Proper Divisor Sum 7,512,036
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4444171 ← → #4444201

Radix Representation

Decimal 4444188
Binary 10000111101000000011100 (23 bits)
Octal 0o20750034
Hexadecimal 0x43D01C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 191 277 382 554 573 764 831 1,108 1,146 1,337 1,662 1,939 2,292 2,674 3,324 3,878 4,011 5,348 5,817 7,756 8,022 11,634 16,044 23,268 52,907 105,814 158,721 211,628 317,442 370,349 634,884 740,698 1,111,047 1,481,396 2,222,094 4,444,188

Collatz Trajectory (193 steps to reach 1)

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

4,444,188 2,222,094 1,111,047 3,333,142 1,666,571 4,999,714 2,499,857 7,499,572 3,749,786 1,874,893 5,624,680 2,812,340 1,406,170 703,085 2,109,256 1,054,628 527,314 263,657 790,972 395,486 197,743 593,230 296,615 889,846 444,923 1,334,770 667,385 2,002,156 1,001,078 500,539 1,501,618 750,809 2,252,428 1,126,214 563,107 1,689,322 844,661 2,533,984 1,266,992 633,496 316,748 158,374 79,187 237,562 118,781 356,344 178,172 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766

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