λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,933,918
36,933,918
2 × 3 × 7 × 37 × 23767
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 23767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,705,664
Proper Divisor Sum 49,771,746
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36933917 ← → #36933959

Radix Representation

Decimal 36933918
Binary 10001100111001000100011110 (26 bits)
Octal 0o214710436
Hexadecimal 0x233911E

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,554 23,767 47,534 71,301 142,602 166,369 332,738 499,107 879,379 998,214 1,758,758 2,638,137 5,276,274 6,155,653 12,311,306 18,466,959 36,933,918

Collatz Trajectory (214 steps to reach 1)

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

36,933,918 18,466,959 55,400,878 27,700,439 83,101,318 41,550,659 124,651,978 62,325,989 186,977,968 93,488,984 46,744,492 23,372,246 11,686,123 35,058,370 17,529,185 52,587,556 26,293,778 13,146,889 39,440,668 19,720,334 9,860,167 29,580,502 14,790,251 44,370,754 22,185,377 66,556,132 33,278,066 16,639,033 49,917,100 24,958,550 12,479,275 37,437,826 18,718,913 56,156,740 28,078,370 14,039,185 42,117,556 21,058,778 10,529,389 31,588,168 15,794,084 7,897,042 3,948,521 11,845,564 5,922,782 2,961,391 8,884,174 4,442,087 13,326,262 6,663,131 19,989,394 9,994,697 29,984,092 14,992,046 7,496,023 22,488,070 11,244,035 33,732,106 16,866,053 50,598,160

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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