λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,175,345
20,175,345
33 × 5 × 17 × 59 × 149
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 17 × 59 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 38,880,000
Proper Divisor Sum 18,704,655
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20175343 ← → #20175349

Radix Representation

Decimal 20175345
Binary 1001100111101100111110001 (25 bits)
Octal 0o114754761
Hexadecimal 0x133D9F1

Divisor Catalog (60 of 64)

1 3 5 9 15 17 27 45 51 59 85 135 149 153 177 255 295 447 459 531 745 765 885 1,003 1,341 1,593 2,235 2,295 2,533 2,655 3,009 4,023 5,015 6,705 7,599 7,965 8,791 9,027 12,665 15,045 20,115 22,797 26,373 27,081 37,995 43,955 45,135 68,391 79,119 113,985 131,865 135,405 149,447 237,357 341,955 395,595 448,341 747,235 1,186,785 1,345,023

Collatz Trajectory (164 steps to reach 1)

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

20,175,345 60,526,036 30,263,018 15,131,509 45,394,528 22,697,264 11,348,632 5,674,316 2,837,158 1,418,579 4,255,738 2,127,869 6,383,608 3,191,804 1,595,902 797,951 2,393,854 1,196,927 3,590,782 1,795,391 5,386,174 2,693,087 8,079,262 4,039,631 12,118,894 6,059,447 18,178,342 9,089,171 27,267,514 13,633,757 40,901,272 20,450,636 10,225,318 5,112,659 15,337,978 7,668,989 23,006,968 11,503,484 5,751,742 2,875,871 8,627,614 4,313,807 12,941,422 6,470,711 19,412,134 9,706,067 29,118,202 14,559,101 43,677,304 21,838,652 10,919,326 5,459,663 16,378,990 8,189,495 24,568,486 12,284,243 36,852,730 18,426,365 55,279,096 27,639,548

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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