2³ × 3² × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 11 × 13

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 1,572,480

Proper Divisor Sum 1,212,120

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #360337 ← → #360391

Radix Representation

Decimal	360360
Binary	1010111111110101000 (19 bits)
Octal	0o1277650
Hexadecimal	0x57FA8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 20 21 22 24 26 28 30 33 35 36 39 40 42 44 45 52 55 56 60 63 65 66 70 72 77 78 84 88 90 91 99 104 105 110 117 120 126 130 132 140 143 154 156 165

Collatz Trajectory (166 steps to reach 1)

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

360,360 180,180 90,090 45,045 135,136 67,568 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288

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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