λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,111,110
1,111,110
2 × 3 × 5 × 7 × 11 × 13 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 11 × 13 × 37
Distinct Prime Factors 7
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 3,677,184
Proper Divisor Sum 2,566,074
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #1111091 ← → #1111151

Radix Representation

Decimal 1111110
Binary 100001111010001000110 (21 bits)
Octal 0o4172106
Hexadecimal 0x10F446

Divisor Catalog (60 of 128)

1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 37 39 42 55 65 66 70 74 77 78 91 105 110 111 130 143 154 165 182 185 195 210 222 231 259 273 286 330 370 385 390 407 429 455 462 481 518 546 555 715 770 777 814

Collatz Trajectory (147 steps to reach 1)

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

1,111,110 555,555 1,666,666 833,333 2,500,000 1,250,000 625,000 312,500 156,250 78,125 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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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