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Atlas › Integer Profiles › Node 37,293,186

37,293,186

2 × 3 × 7 × 31 × 28643
Abundant Even Composite

37,293,186 factors as 2 × 3 × 7 × 31 × 28643. Its 32 positive divisors give a proper-divisor sum of 50,701,182, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 28643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,994,368
Proper Divisor Sum 50,701,182
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #37293173 ← → #37293199

Radix Representation

Decimal 37293186
Binary 10001110010000110010000010 (26 bits)
Octal 0o216206202
Hexadecimal 0x2390C82

Divisor Catalog (32)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1,302 28,643 57,286 85,929 171,858 200,501 401,002 601,503 887,933 1,203,006 1,775,866 2,663,799 5,327,598 6,215,531 12,431,062 18,646,593 37,293,186

Collatz Trajectory (209 steps to reach 1)

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

37,293,186 18,646,593 55,939,780 27,969,890 13,984,945 41,954,836 20,977,418 10,488,709 31,466,128 15,733,064 7,866,532 3,933,266 1,966,633 5,899,900 2,949,950 1,474,975 4,424,926 2,212,463 6,637,390 3,318,695 9,956,086 4,978,043 14,934,130 7,467,065 22,401,196 11,200,598 5,600,299 16,800,898 8,400,449 25,201,348 12,600,674 6,300,337 18,901,012 9,450,506 4,725,253 14,175,760 7,087,880 3,543,940 1,771,970 885,985 2,657,956 1,328,978 664,489 1,993,468 996,734 498,367 1,495,102 747,551 2,242,654 1,121,327 3,363,982 1,681,991 5,045,974 2,522,987 7,568,962 3,784,481 11,353,444 5,676,722 2,838,361 8,515,084

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