λ
Ratio Atlas
Atlas › Integer Profiles › Node 460,320
460,320
25 × 3 × 5 × 7 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,669,248
Proper Divisor Sum 1,208,928
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #460301 ← → #460337

Radix Representation

Decimal 460320
Binary 1110000011000100000 (19 bits)
Octal 0o1603040
Hexadecimal 0x70620

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 137 140 160 168 210 224 240 274 280 336 411 420 480 548 560 672 685 822 840 959 1,096 1,120 1,370 1,644 1,680 1,918 2,055 2,192

Collatz Trajectory (169 steps to reach 1)

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

460,320 230,160 115,080 57,540 28,770 14,385 43,156 21,578 10,789 32,368 16,184 8,092 4,046 2,023 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

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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