λ
Ratio Atlas
Atlas › Integer Profiles › Node 53,820
53,820
22 × 32 × 5 × 13 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 183,456
Proper Divisor Sum 129,636
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #53819 ← → #53831

Radix Representation

Decimal 53820
Binary 1101001000111100 (16 bits)
Octal 0o151074
Hexadecimal 0xD23C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1,035 1,170 1,196 1,380 1,495 1,794 2,070 2,340 2,691

Collatz Trajectory (52 steps to reach 1)

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

53,820 26,910 13,455 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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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