2⁴ × 3² × 7 × 11 × 19

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 773,760

Proper Divisor Sum 563,088

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #210671 ← → #210709

Radix Representation

Decimal	210672
Binary	110011011011110000 (18 bits)
Octal	0o633360
Hexadecimal	0x336F0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 33 36 38 42 44 48 56 57 63 66 72 76 77 84 88 99 112 114 126 132 133 144 152 154 168 171 176 198 209 228 231 252 264 266 304 308 336 342 396 399 418 456

Collatz Trajectory (173 steps to reach 1)

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

210,672 105,336 52,668 26,334 13,167 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

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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