λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,447,240
4,447,240
23 × 5 × 72 × 2269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,645,100
Proper Divisor Sum 7,197,860
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4447207 ← → #4447249

Radix Representation

Decimal 4447240
Binary 10000111101110000001000 (23 bits)
Octal 0o20756010
Hexadecimal 0x43DC08

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,960 2,269 4,538 9,076 11,345 15,883 18,152 22,690 31,766 45,380 63,532 79,415 90,760 111,181 127,064 158,830 222,362 317,660 444,724 555,905 635,320 889,448 1,111,810 2,223,620 4,447,240

Collatz Trajectory (180 steps to reach 1)

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

4,447,240 2,223,620 1,111,810 555,905 1,667,716 833,858 416,929 1,250,788 625,394 312,697 938,092 469,046 234,523 703,570 351,785 1,055,356 527,678 263,839 791,518 395,759 1,187,278 593,639 1,780,918 890,459 2,671,378 1,335,689 4,007,068 2,003,534 1,001,767 3,005,302 1,502,651 4,507,954 2,253,977 6,761,932 3,380,966 1,690,483 5,071,450 2,535,725 7,607,176 3,803,588 1,901,794 950,897 2,852,692 1,426,346 713,173 2,139,520 1,069,760 534,880 267,440 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208

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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