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Ratio Atlas
Atlas › Integer Profiles › Node 474,240
474,240
27 × 3 × 5 × 13 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 13 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 1,713,600
Proper Divisor Sum 1,239,360
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #474223 ← → #474241

Radix Representation

Decimal 474240
Binary 1110011110010000000 (19 bits)
Octal 0o1636200
Hexadecimal 0x73C80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 260 285 304 312 320 380 384 390 416 456 480 494 520

Collatz Trajectory (169 steps to reach 1)

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

474,240 237,120 118,560 59,280 29,640 14,820 7,410 3,705 11,116 5,558 2,779 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506

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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