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Ratio Atlas
Atlas › Integer Profiles › Node 102,600
102,600
23 × 33 × 52 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5^2 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 372,000
Proper Divisor Sum 269,400
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #102593 ← → #102607

Radix Representation

Decimal 102600
Binary 11001000011001000 (17 bits)
Octal 0o310310
Hexadecimal 0x190C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 27 30 36 38 40 45 50 54 57 60 72 75 76 90 95 100 108 114 120 135 150 152 171 180 190 200 216 225 228 270 285 300 342 360 380 450 456 475 513 540 570 600 675 684

Collatz Trajectory (53 steps to reach 1)

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

102,600 51,300 25,650 12,825 38,476 19,238 9,619 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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