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Ratio Atlas
Atlas › Integer Profiles › Node 200,772
200,772
22 × 33 × 11 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 13^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 614,880
Proper Divisor Sum 414,108
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #200771 ← → #200779

Radix Representation

Decimal 200772
Binary 110001000001000100 (18 bits)
Octal 0o610104
Hexadecimal 0x31044

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 429 468 507 572 594 676 702 858 1,014 1,188 1,287 1,404 1,521 1,716 1,859 2,028 2,574 3,042 3,718 3,861 4,563 5,148 5,577 6,084 7,436

Collatz Trajectory (67 steps to reach 1)

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

200,772 100,386 50,193 150,580 75,290 37,645 112,936 56,468 28,234 14,117 42,352 21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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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