λ
Ratio Atlas
Atlas › Integer Profiles › Node 467,460
467,460
22 × 32 × 5 × 72 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,680,588
Proper Divisor Sum 1,213,128
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #467447 ← → #467471

Radix Representation

Decimal 467460
Binary 1110010001000000100 (19 bits)
Octal 0o1621004
Hexadecimal 0x72204

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 53 60 63 70 84 90 98 105 106 126 140 147 159 180 196 210 212 245 252 265 294 315 318 371 420 441 477 490 530 588 630 636 735 742 795 882 954 980

Collatz Trajectory (50 steps to reach 1)

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

467,460 233,730 116,865 350,596 175,298 87,649 262,948 131,474 65,737 197,212 98,606 49,303 147,910 73,955 221,866 110,933 332,800 166,400 83,200 41,600 20,800 10,400 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 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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