2⁴ × 3 × 5 × 17 × 83

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,124,928

Proper Divisor Sum 786,288

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #338609 ← → #338659

Radix Representation

Decimal	338640
Binary	1010010101011010000 (19 bits)
Octal	0o1225320
Hexadecimal	0x52AD0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 83 85 102 120 136 166 170 204 240 249 255 272 332 340 408 415 498 510 664 680 816 830 996 1,020 1,245 1,328 1,360 1,411 1,660 1,992 2,040 2,490 2,822 3,320 3,984 4,080 4,233 4,980

Collatz Trajectory (60 steps to reach 1)

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

338,640 169,320 84,660 42,330 21,165 63,496 31,748 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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