2³ × 3² × 13 × 23 × 31

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,096,640

Proper Divisor Sum 1,429,272

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #667367 ← → #667379

Radix Representation

Decimal	667368
Binary	10100010111011101000 (20 bits)
Octal	0o2427350
Hexadecimal	0xA2EE8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 18 23 24 26 31 36 39 46 52 62 69 72 78 92 93 104 117 124 138 156 184 186 207 234 248 276 279 299 312 372 403 414 468 552 558 598 713 744 806 828 897 936 1,116 1,196 1,209 1,426 1,612 1,656 1,794 2,139 2,232

Collatz Trajectory (115 steps to reach 1)

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

667,368 333,684 166,842 83,421 250,264 125,132 62,566 31,283 93,850 46,925 140,776 70,388 35,194 17,597 52,792 26,396 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

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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