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Ratio Atlas
Atlas › Integer Profiles › Node 616,320
616,320
27 × 32 × 5 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,148,120
Proper Divisor Sum 1,531,800
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #616313 ← → #616321

Radix Representation

Decimal 616320
Binary 10010110011110000000 (20 bits)
Octal 0o2263600
Hexadecimal 0x96780

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 107 120 128 144 160 180 192 214 240 288 320 321 360 384 428 480 535 576 640 642 720 856 960 963 1,070 1,152 1,284 1,440 1,605 1,712 1,920 1,926 2,140

Collatz Trajectory (79 steps to reach 1)

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

616,320 308,160 154,080 77,040 38,520 19,260 9,630 4,815 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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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