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Ratio Atlas
Atlas › Integer Profiles › Node 307,440
307,440
24 × 32 × 5 × 7 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,199,328
Proper Divisor Sum 891,888
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #307423 ← → #307451

Radix Representation

Decimal 307440
Binary 1001011000011110000 (19 bits)
Octal 0o1130360
Hexadecimal 0x4B0F0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 61 63 70 72 80 84 90 105 112 120 122 126 140 144 168 180 183 210 240 244 252 280 305 315 336 360 366 420 427 488 504 549

Collatz Trajectory (127 steps to reach 1)

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

307,440 153,720 76,860 38,430 19,215 57,646 28,823 86,470 43,235 129,706 64,853 194,560 97,280 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334

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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