λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,175,390
2,175,390
2 × 33 × 5 × 7 × 1151
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 1151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,635,520
Proper Divisor Sum 4,460,130
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2175373 ← → #2175391

Radix Representation

Decimal 2175390
Binary 1000010011000110011110 (22 bits)
Octal 0o10230636
Hexadecimal 0x21319E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1,151 1,890 2,302 3,453 5,755 6,906 8,057 10,359 11,510 16,114 17,265 20,718 24,171 31,077 34,530 40,285 48,342 51,795 62,154 72,513 80,570 103,590 120,855 145,026 155,385 217,539 241,710 310,770 362,565

Collatz Trajectory (210 steps to reach 1)

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

2,175,390 1,087,695 3,263,086 1,631,543 4,894,630 2,447,315 7,341,946 3,670,973 11,012,920 5,506,460 2,753,230 1,376,615 4,129,846 2,064,923 6,194,770 3,097,385 9,292,156 4,646,078 2,323,039 6,969,118 3,484,559 10,453,678 5,226,839 15,680,518 7,840,259 23,520,778 11,760,389 35,281,168 17,640,584 8,820,292 4,410,146 2,205,073 6,615,220 3,307,610 1,653,805 4,961,416 2,480,708 1,240,354 620,177 1,860,532 930,266 465,133 1,395,400 697,700 348,850 174,425 523,276 261,638 130,819 392,458 196,229 588,688 294,344 147,172 73,586 36,793 110,380 55,190 27,595 82,786

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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