λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,572,001
18,572,001
3 × 7 × 43 × 131 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 43 × 131 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,365,248
Proper Divisor Sum 10,793,247
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #18571991 ← → #18572011

Radix Representation

Decimal 18572001
Binary 1000110110110001011100001 (25 bits)
Octal 0o106661341
Hexadecimal 0x11B62E1

Divisor Catalog (32)

1 3 7 21 43 129 131 157 301 393 471 903 917 1,099 2,751 3,297 5,633 6,751 16,899 20,253 20,567 39,431 47,257 61,701 118,293 141,771 143,969 431,907 884,381 2,653,143 6,190,667 18,572,001

Collatz Trajectory (164 steps to reach 1)

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

18,572,001 55,716,004 27,858,002 13,929,001 41,787,004 20,893,502 10,446,751 31,340,254 15,670,127 47,010,382 23,505,191 70,515,574 35,257,787 105,773,362 52,886,681 158,660,044 79,330,022 39,665,011 118,995,034 59,497,517 178,492,552 89,246,276 44,623,138 22,311,569 66,934,708 33,467,354 16,733,677 50,201,032 25,100,516 12,550,258 6,275,129 18,825,388 9,412,694 4,706,347 14,119,042 7,059,521 21,178,564 10,589,282 5,294,641 15,883,924 7,941,962 3,970,981 11,912,944 5,956,472 2,978,236 1,489,118 744,559 2,233,678 1,116,839 3,350,518 1,675,259 5,025,778 2,512,889 7,538,668 3,769,334 1,884,667 5,654,002 2,827,001 8,481,004 4,240,502

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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