2⁴ × 3³ × 7 × 11 × 23

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 11 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 2,856,960

Proper Divisor Sum 2,091,888

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #765059 ← → #765091

Radix Representation

Decimal	765072
Binary	10111010110010010000 (20 bits)
Octal	0o2726220
Hexadecimal	0xBAC90

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 27 28 33 36 42 44 46 48 54 56 63 66 69 72 77 84 88 92 99 108 112 126 132 138 144 154 161 168 176 184 189 198 207 216 231 252 253 264 276 297 308 322 336

Collatz Trajectory (56 steps to reach 1)

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

765,072 382,536 191,268 95,634 47,817 143,452 71,726 35,863 107,590 53,795 161,386 80,693 242,080 121,040 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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