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Ratio Atlas
Atlas › Integer Profiles › Node 727,200
727,200
25 × 32 × 52 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 2,589,678
Proper Divisor Sum 1,862,478
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #727189 ← → #727201

Radix Representation

Decimal 727200
Binary 10110001100010100000 (20 bits)
Octal 0o2614240
Hexadecimal 0xB18A0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 101 120 144 150 160 180 200 202 225 240 288 300 303 360 400 404 450 480 505 600 606 720 800 808 900 909 1,010 1,200 1,212 1,440

Collatz Trajectory (87 steps to reach 1)

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

727,200 363,600 181,800 90,900 45,450 22,725 68,176 34,088 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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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