λ
Ratio Atlas
Atlas › Integer Profiles › Node 100,170
100,170
2 × 33 × 5 × 7 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 311,040
Proper Divisor Sum 210,870
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #100169 ← → #100183

Radix Representation

Decimal 100170
Binary 11000011101001010 (17 bits)
Octal 0o303512
Hexadecimal 0x1874A

Divisor Catalog (60 of 64)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1,113 1,431 1,590 1,855 1,890 2,226 2,385 2,862 3,339 3,710 4,770 5,565 6,678 7,155 10,017 11,130 14,310 16,695

Collatz Trajectory (66 steps to reach 1)

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

100,170 50,085 150,256 75,128 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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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