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Ratio Atlas
Atlas › Integer Profiles › Node 17,822,720
17,822,720
210 × 5 × 592
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 5 × 59^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 66
Divisor Sum (σ) 43,490,562
Proper Divisor Sum 25,667,842
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17822711 ← → #17822743

Radix Representation

Decimal 17822720
Binary 1000011111111010000000000 (25 bits)
Octal 0o103772000
Hexadecimal 0x10FF400

Divisor Catalog (60 of 66)

1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 512 590 640 944 1,024 1,180 1,280 1,888 2,360 2,560 3,481 3,776 4,720 5,120 6,962 7,552 9,440 13,924 15,104 17,405 18,880 27,848 30,208 34,810 37,760 55,696 60,416 69,620 75,520 111,392 139,240 151,040 222,784 278,480 302,080 445,568 556,960 891,136 1,113,920

Collatz Trajectory (89 steps to reach 1)

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

17,822,720 8,911,360 4,455,680 2,227,840 1,113,920 556,960 278,480 139,240 69,620 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524

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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