λ
Ratio Atlas
Atlas › Integer Profiles › Node 520,800
520,800
25 × 3 × 52 × 7 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 7 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,999,872
Proper Divisor Sum 1,479,072
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #520787 ← → #520813

Radix Representation

Decimal 520800
Binary 1111111001001100000 (19 bits)
Octal 0o1771140
Hexadecimal 0x7F260

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 70 75 80 84 93 96 100 105 112 120 124 140 150 155 160 168 175 186 200 210 217 224 240 248 280 300 310 336 350 372 400

Collatz Trajectory (164 steps to reach 1)

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

520,800 260,400 130,200 65,100 32,550 16,275 48,826 24,413 73,240 36,620 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94

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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