2 × 3 × 5 × 7² × 11 × 13

Prime Factor Structure

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

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 689,472

Proper Divisor Sum 479,262

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #210209 ← → #210229

Radix Representation

Decimal	210210
Binary	110011010100100010 (18 bits)
Octal	0o632442
Hexadecimal	0x33522

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 49 55 65 66 70 77 78 91 98 105 110 130 143 147 154 165 182 195 210 231 245 273 286 294 330 385 390 429 455 462 490 539 546 637 715 735 770 858 910 1,001 1,078

Collatz Trajectory (204 steps to reach 1)

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

210,210 105,105 315,316 157,658 78,829 236,488 118,244 59,122 29,561 88,684 44,342 22,171 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334

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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