2 × 3⁶ × 7 × 13 × 31

Prime Factor Structure

Factorization String 2 × 3^6 × 7 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 11,751,936

Proper Divisor Sum 7,638,918

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4112989 ← → #4113029

Radix Representation

Decimal	4113018
Binary	1111101100001001111010 (22 bits)
Octal	0o17541172
Hexadecimal	0x3EC27A

Divisor Catalog (60 of 112)

1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 243 273 279 351 378 403 434 486 546 558 567 651 702 729 806 819 837 1,053 1,134 1,209 1,302 1,458 1,638 1,674 1,701 1,953 2,106 2,418 2,457 2,511

Collatz Trajectory (105 steps to reach 1)

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

4,113,018 2,056,509 6,169,528 3,084,764 1,542,382 771,191 2,313,574 1,156,787 3,470,362 1,735,181 5,205,544 2,602,772 1,301,386 650,693 1,952,080 976,040 488,020 244,010 122,005 366,016 183,008 91,504 45,752 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360

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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