2⁴ × 3 × 5 × 13 × 53

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 562,464

Proper Divisor Sum 397,104

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #165349 ← → #165367

Radix Representation

Decimal	165360
Binary	101000010111110000 (18 bits)
Octal	0o502760
Hexadecimal	0x285F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 78 80 104 106 120 130 156 159 195 208 212 240 260 265 312 318 390 424 520 530 624 636 689 780 795 848 1,040 1,060 1,272 1,378 1,560 1,590 2,067 2,120 2,544 2,756 3,120

Collatz Trajectory (183 steps to reach 1)

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

165,360 82,680 41,340 20,670 10,335 31,006 15,503 46,510 23,255 69,766 34,883 104,650 52,325 156,976 78,488 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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