λ
Ratio Atlas
Atlas › Integer Profiles › Node 466,440
466,440
23 × 3 × 5 × 132 × 23
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,581,120
Proper Divisor Sum 1,114,680
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #466423 ← → #466441

Radix Representation

Decimal 466440
Binary 1110001111000001000 (19 bits)
Octal 0o1617010
Hexadecimal 0x71E08

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 169 184 195 230 260 276 299 312 338 345 390 460 507 520 552 598 676 690 780 845 897 920 1,014 1,196 1,352 1,380 1,495 1,560 1,690

Collatz Trajectory (125 steps to reach 1)

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

466,440 233,220 116,610 58,305 174,916 87,458 43,729 131,188 65,594 32,797 98,392 49,196 24,598 12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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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