λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,243,068
10,243,068
22 × 3 × 11 × 73 × 1063
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 73 × 1063
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,455,296
Proper Divisor Sum 16,212,228
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10243067 ← → #10243087

Radix Representation

Decimal 10243068
Binary 100111000100101111111100 (24 bits)
Octal 0o47045774
Hexadecimal 0x9C4BFC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1,063 1,606 2,126 2,409 3,189 3,212 4,252 4,818 6,378 9,636 11,693 12,756 23,386 35,079 46,772 70,158 77,599 140,316 155,198 232,797 310,396 465,594 853,589 931,188 1,707,178 2,560,767 3,414,356 5,121,534 10,243,068

Collatz Trajectory (357 steps to reach 1)

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

10,243,068 5,121,534 2,560,767 7,682,302 3,841,151 11,523,454 5,761,727 17,285,182 8,642,591 25,927,774 12,963,887 38,891,662 19,445,831 58,337,494 29,168,747 87,506,242 43,753,121 131,259,364 65,629,682 32,814,841 98,444,524 49,222,262 24,611,131 73,833,394 36,916,697 110,750,092 55,375,046 27,687,523 83,062,570 41,531,285 124,593,856 62,296,928 31,148,464 15,574,232 7,787,116 3,893,558 1,946,779 5,840,338 2,920,169 8,760,508 4,380,254 2,190,127 6,570,382 3,285,191 9,855,574 4,927,787 14,783,362 7,391,681 22,175,044 11,087,522 5,543,761 16,631,284 8,315,642 4,157,821 12,473,464 6,236,732 3,118,366 1,559,183 4,677,550 2,338,775

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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