λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,748,620
36,748,620
22 × 33 × 5 × 68053
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 68053
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,330,720
Proper Divisor Sum 77,582,100
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36748619 ← → #36748631

Radix Representation

Decimal 36748620
Binary 10001100001011110101001100 (26 bits)
Octal 0o214136514
Hexadecimal 0x230BD4C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 68,053 136,106 204,159 272,212 340,265 408,318 612,477 680,530 816,636 1,020,795 1,224,954 1,361,060 1,837,431 2,041,590 2,449,908 3,062,385 3,674,862 4,083,180 6,124,770 7,349,724 9,187,155 12,249,540 18,374,310 36,748,620

Collatz Trajectory (196 steps to reach 1)

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

36,748,620 18,374,310 9,187,155 27,561,466 13,780,733 41,342,200 20,671,100 10,335,550 5,167,775 15,503,326 7,751,663 23,254,990 11,627,495 34,882,486 17,441,243 52,323,730 26,161,865 78,485,596 39,242,798 19,621,399 58,864,198 29,432,099 88,296,298 44,148,149 132,444,448 66,222,224 33,111,112 16,555,556 8,277,778 4,138,889 12,416,668 6,208,334 3,104,167 9,312,502 4,656,251 13,968,754 6,984,377 20,953,132 10,476,566 5,238,283 15,714,850 7,857,425 23,572,276 11,786,138 5,893,069 17,679,208 8,839,604 4,419,802 2,209,901 6,629,704 3,314,852 1,657,426 828,713 2,486,140 1,243,070 621,535 1,864,606 932,303 2,796,910 1,398,455

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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