2³ × 3 × 5 × 17 × 23

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 155,520

Proper Divisor Sum 108,600

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #46919 ← → #46933

Radix Representation

Decimal	46920
Binary	1011011101001000 (16 bits)
Octal	0o133510
Hexadecimal	0xB748

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1,020 1,173 1,380 1,564 1,955 2,040 2,346 2,760 3,128 3,910 4,692 5,865 7,820 9,384

Collatz Trajectory (106 steps to reach 1)

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

46,920 23,460 11,730 5,865 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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