λ
Ratio Atlas
Atlas › Integer Profiles › Node 490,680
490,680
23 × 32 × 5 × 29 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 29 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,684,800
Proper Divisor Sum 1,194,120
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #490663 ← → #490697

Radix Representation

Decimal 490680
Binary 1110111110010111000 (19 bits)
Octal 0o1676270
Hexadecimal 0x77CB8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 47 58 60 72 87 90 94 116 120 141 145 174 180 188 232 235 261 282 290 348 360 376 423 435 470 522 564 580 696 705 846 870 940 1,044 1,128 1,160 1,305 1,363 1,410 1,692 1,740

Collatz Trajectory (63 steps to reach 1)

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

490,680 245,340 122,670 61,335 184,006 92,003 276,010 138,005 414,016 207,008 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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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