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Ratio Atlas
Atlas › Integer Profiles › Node 400,520
400,520
23 × 5 × 17 × 19 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 19 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,036,800
Proper Divisor Sum 636,280
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #400481 ← → #400523

Radix Representation

Decimal 400520
Binary 1100001110010001000 (19 bits)
Octal 0o1416210
Hexadecimal 0x61C88

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 19 20 31 34 38 40 62 68 76 85 95 124 136 152 155 170 190 248 310 323 340 380 527 589 620 646 680 760 1,054 1,178 1,240 1,292 1,615 2,108 2,356 2,584 2,635 2,945 3,230 4,216 4,712 5,270 5,890 6,460 10,013 10,540 11,780 12,920 20,026 21,080 23,560 40,052 50,065

Collatz Trajectory (68 steps to reach 1)

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

400,520 200,260 100,130 50,065 150,196 75,098 37,549 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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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