2³ × 3 × 7 × 11 × 13 × 17

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13 × 17

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 1,043,112

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #408403 ← → #408413

Radix Representation

Decimal	408408
Binary	1100011101101011000 (19 bits)
Octal	0o1435530
Hexadecimal	0x63B58

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 13 14 17 21 22 24 26 28 33 34 39 42 44 51 52 56 66 68 77 78 84 88 91 102 104 119 132 136 143 154 156 168 182 187 204 221 231 238 264 273 286 308 312 357 364 374 408 429 442 462 476

Collatz Trajectory (205 steps to reach 1)

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

408,408 204,204 102,102 51,051 153,154 76,577 229,732 114,866 57,433 172,300 86,150 43,075 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551

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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