λ
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2,189,970

2 × 33 × 5 × 8111
Abundant Even Composite

2,189,970 factors as 2 × 3^3 × 5 × 8111. Its 32 positive divisors give a proper-divisor sum of 3,650,670, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 8111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,840,640
Proper Divisor Sum 3,650,670
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2189939 ← → #2189981

Radix Representation

Decimal 2189970
Binary 1000010110101010010010 (22 bits)
Octal 0o10265222
Hexadecimal 0x216A92

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8,111 16,222 24,333 40,555 48,666 72,999 81,110 121,665 145,998 218,997 243,330 364,995 437,994 729,990 1,094,985 2,189,970

Collatz Trajectory (197 steps to reach 1)

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

2,189,970 1,094,985 3,284,956 1,642,478 821,239 2,463,718 1,231,859 3,695,578 1,847,789 5,543,368 2,771,684 1,385,842 692,921 2,078,764 1,039,382 519,691 1,559,074 779,537 2,338,612 1,169,306 584,653 1,753,960 876,980 438,490 219,245 657,736 328,868 164,434 82,217 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342

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