λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,293,138
37,293,138
2 × 32 × 172 × 67 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17^2 × 67 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 87,929,712
Proper Divisor Sum 50,636,574
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37293103 ← → #37293167

Radix Representation

Decimal 37293138
Binary 10001110010000110001010010 (26 bits)
Octal 0o216206122
Hexadecimal 0x2390C52

Divisor Catalog (60 of 72)

1 2 3 6 9 17 18 34 51 67 102 107 134 153 201 214 289 306 321 402 578 603 642 867 963 1,139 1,206 1,734 1,819 1,926 2,278 2,601 3,417 3,638 5,202 5,457 6,834 7,169 10,251 10,914 14,338 16,371 19,363 20,502 21,507 30,923 32,742 38,726 43,014 58,089 61,846 64,521 92,769 116,178 121,873 129,042 174,267 185,538 243,746 278,307

Collatz Trajectory (134 steps to reach 1)

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

37,293,138 18,646,569 55,939,708 27,969,854 13,984,927 41,954,782 20,977,391 62,932,174 31,466,087 94,398,262 47,199,131 141,597,394 70,798,697 212,396,092 106,198,046 53,099,023 159,297,070 79,648,535 238,945,606 119,472,803 358,418,410 179,209,205 537,627,616 268,813,808 134,406,904 67,203,452 33,601,726 16,800,863 50,402,590 25,201,295 75,603,886 37,801,943 113,405,830 56,702,915 170,108,746 85,054,373 255,163,120 127,581,560 63,790,780 31,895,390 15,947,695 47,843,086 23,921,543 71,764,630 35,882,315 107,646,946 53,823,473 161,470,420 80,735,210 40,367,605 121,102,816 60,551,408 30,275,704 15,137,852 7,568,926 3,784,463 11,353,390 5,676,695 17,030,086 8,515,043

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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