2³ × 3 × 7² × 11 × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,313,280

Proper Divisor Sum 912,264

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #400997 ← → #401017

Radix Representation

Decimal	401016
Binary	1100001111001111000 (19 bits)
Octal	0o1417170
Hexadecimal	0x61E78

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 49 56 62 66 77 84 88 93 98 124 132 147 154 168 186 196 217 231 248 264 294 308 341 372 392 434 462 539 588 616 651 682 744 868 924 1,023 1,078 1,176 1,302 1,364 1,519 1,617

Collatz Trajectory (143 steps to reach 1)

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

401,016 200,508 100,254 50,127 150,382 75,191 225,574 112,787 338,362 169,181 507,544 253,772 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277 1,098,832 549,416

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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