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Ratio Atlas
Atlas › Integer Profiles › Node 99,360
99,360
25 × 33 × 5 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 362,880
Proper Divisor Sum 263,520
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #99349 ← → #99367

Radix Representation

Decimal 99360
Binary 11000010000100000 (17 bits)
Octal 0o302040
Hexadecimal 0x18420

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 69 72 80 90 92 96 108 115 120 135 138 144 160 180 184 207 216 230 240 270 276 288 345 360 368 414 432 460 480 540 552 621 690 720

Collatz Trajectory (159 steps to reach 1)

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

99,360 49,680 24,840 12,420 6,210 3,105 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107

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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