2² × 3⁵ × 5 × 7 × 13

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,712,256

Proper Divisor Sum 1,269,996

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #442243 ← → #442271

Radix Representation

Decimal	442260
Binary	1101011111110010100 (19 bits)
Octal	0o1537624
Hexadecimal	0x6BF94

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 52 54 60 63 65 70 78 81 84 90 91 105 108 117 126 130 135 140 156 162 180 182 189 195 210 234 243 252 260 270 273 315 324 351 364

Collatz Trajectory (169 steps to reach 1)

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

442,260 221,130 110,565 331,696 165,848 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383 718,150 359,075 1,077,226 538,613 1,615,840 807,920 403,960 201,980 100,990

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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