λ
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2,200,436

22 × 7 × 89 × 883
Abundant Even Composite

2,200,436 factors as 2^2 × 7 × 89 × 883. Its 24 positive divisors give a proper-divisor sum of 2,254,924, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 89 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,455,360
Proper Divisor Sum 2,254,924
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2200423 ← → #2200441

Radix Representation

Decimal 2200436
Binary 1000011001001101110100 (22 bits)
Octal 0o10311564
Hexadecimal 0x219374

Divisor Catalog (24)

1 2 4 7 14 28 89 178 356 623 883 1,246 1,766 2,492 3,532 6,181 12,362 24,724 78,587 157,174 314,348 550,109 1,100,218 2,200,436

Collatz Trajectory (91 steps to reach 1)

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

2,200,436 1,100,218 550,109 1,650,328 825,164 412,582 206,291 618,874 309,437 928,312 464,156 232,078 116,039 348,118 174,059 522,178 261,089 783,268 391,634 195,817 587,452 293,726 146,863 440,590 220,295 660,886 330,443 991,330 495,665 1,486,996 743,498 371,749 1,115,248 557,624 278,812 139,406 69,703 209,110 104,555 313,666 156,833 470,500 235,250 117,625 352,876 176,438 88,219 264,658 132,329 396,988 198,494 99,247 297,742 148,871 446,614 223,307 669,922 334,961 1,004,884 502,442

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