λ
Ratio Atlas
Atlas › Integer Profiles › Node 221,200
221,200
24 × 52 × 7 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 615,040
Proper Divisor Sum 393,840
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #221197 ← → #221201

Radix Representation

Decimal 221200
Binary 110110000000010000 (18 bits)
Octal 0o660020
Hexadecimal 0x36010

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 140 158 175 200 280 316 350 395 400 553 560 632 700 790 1,106 1,264 1,400 1,580 1,975 2,212 2,765 2,800 3,160 3,950 4,424 5,530 6,320 7,900 8,848 11,060 13,825 15,800 22,120 27,650 31,600 44,240 55,300 110,600 221,200

Collatz Trajectory (93 steps to reach 1)

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

221,200 110,600 55,300 27,650 13,825 41,476 20,738 10,369 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236

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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