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198,360

23 × 32 × 5 × 19 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 19 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 702,000
Proper Divisor Sum 503,640
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #198349 ← → #198377

Radix Representation

Decimal 198360
Binary 110000011011011000 (18 bits)
Octal 0o603330
Hexadecimal 0x306D8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 29 30 36 38 40 45 57 58 60 72 76 87 90 95 114 116 120 145 152 171 174 180 190 228 232 261 285 290 342 348 360 380 435 456 522 551 570 580 684 696 760 855 870 1,044 1,102

Collatz Trajectory (67 steps to reach 1)

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

198,360 99,180 49,590 24,795 74,386 37,193 111,580 55,790 27,895 83,686 41,843 125,530 62,765 188,296 94,148 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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