λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,293,190
37,293,190
2 × 5 × 11 × 41 × 8269
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 41 × 8269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,025,440
Proper Divisor Sum 37,732,250
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37293173 ← → #37293199

Radix Representation

Decimal 37293190
Binary 10001110010000110010000110 (26 bits)
Octal 0o216206206
Hexadecimal 0x2390C86

Divisor Catalog (32)

1 2 5 10 11 22 41 55 82 110 205 410 451 902 2,255 4,510 8,269 16,538 41,345 82,690 90,959 181,918 339,029 454,795 678,058 909,590 1,695,145 3,390,290 3,729,319 7,458,638 18,646,595 37,293,190

Collatz Trajectory (209 steps to reach 1)

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

37,293,190 18,646,595 55,939,786 27,969,893 83,909,680 41,954,840 20,977,420 10,488,710 5,244,355 15,733,066 7,866,533 23,599,600 11,799,800 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

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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