2³ × 3⁶ × 5 × 13

Prime Factor Structure

Factorization String 2^3 × 3^6 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 1,377,180

Proper Divisor Sum 998,100

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #379073 ← → #379081

Radix Representation

Decimal	379080
Binary	1011100100011001000 (19 bits)
Octal	0o1344310
Hexadecimal	0x5C8C8

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 243 260 270 312 324 351 360 390 405 468 486 520 540 585 648 702 729 780

Collatz Trajectory (78 steps to reach 1)

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

379,080 189,540 94,770 47,385 142,156 71,078 35,539 106,618 53,309 159,928 79,964 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410

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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