2² × 3³ × 5 × 11 × 17

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 362,880

Proper Divisor Sum 261,900

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #100957 ← → #100981

Radix Representation

Decimal	100980
Binary	11000101001110100 (17 bits)
Octal	0o305164
Hexadecimal	0x18A74

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 27 30 33 34 36 44 45 51 54 55 60 66 68 85 90 99 102 108 110 132 135 153 165 170 180 187 198 204 220 255 270 297 306 330 340 374 396 459 495 510 540 561 594 612 660

Collatz Trajectory (110 steps to reach 1)

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

100,980 50,490 25,245 75,736 37,868 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844

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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