λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,036,740
52,036,740
22 × 32 × 5 × 7 × 41299
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 41299
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 180,398,400
Proper Divisor Sum 128,361,660
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52036729 ← → #52036769

Radix Representation

Decimal 52036740
Binary 11000110100000010010000100 (26 bits)
Octal 0o306402204
Hexadecimal 0x31A0484

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1,260 41,299 82,598 123,897 165,196 206,495 247,794 289,093 371,691 412,990 495,588 578,186 619,485 743,382 825,980 867,279 1,156,372 1,238,970 1,445,465 1,486,764 1,734,558 1,858,455 2,477,940 2,601,837 2,890,930

Collatz Trajectory (155 steps to reach 1)

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

52,036,740 26,018,370 13,009,185 39,027,556 19,513,778 9,756,889 29,270,668 14,635,334 7,317,667 21,953,002 10,976,501 32,929,504 16,464,752 8,232,376 4,116,188 2,058,094 1,029,047 3,087,142 1,543,571 4,630,714 2,315,357 6,946,072 3,473,036 1,736,518 868,259 2,604,778 1,302,389 3,907,168 1,953,584 976,792 488,396 244,198 122,099 366,298 183,149 549,448 274,724 137,362 68,681 206,044 103,022 51,511 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009

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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