2 × 3⁴ × 5 × 7 × 13

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 7 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 243,936

Proper Divisor Sum 170,226

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #73709 ← → #73721

Radix Representation

Decimal	73710
Binary	10001111111101110 (17 bits)
Octal	0o217756
Hexadecimal	0x11FEE

Divisor Catalog (60 of 80)

1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1,053 1,134 1,170 1,365

Collatz Trajectory (169 steps to reach 1)

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

73,710 36,855 110,566 55,283 165,850 82,925 248,776 124,388 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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