2⁵ × 3³ × 5² × 17

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,406,160

Proper Divisor Sum 1,038,960

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #367189 ← → #367201

Radix Representation

Decimal	367200
Binary	1011001101001100000 (19 bits)
Octal	0o1315140
Hexadecimal	0x59A60

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 85 90 96 100 102 108 120 135 136 144 150 153 160 170 180 200 204 216 225 240 255 270 272 288 300 306 340

Collatz Trajectory (117 steps to reach 1)

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

367,200 183,600 91,800 45,900 22,950 11,475 34,426 17,213 51,640 25,820 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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