2 × 3 × 5 × 7² × 13² × 29

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 13^2 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 22,530,960

Proper Divisor Sum 15,326,490

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7204427 ← → #7204471

Radix Representation

Decimal	7204470
Binary	11011011110111001110110 (23 bits)
Octal	0o33367166
Hexadecimal	0x6DEE76

Divisor Catalog (60 of 144)

1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 39 42 49 58 65 70 78 87 91 98 105 130 145 147 169 174 182 195 203 210 245 273 290 294 338 377 390 406 435 455 490 507 546 609 637 735 754 845 870 910 1,014 1,015 1,131 1,183 1,218

Collatz Trajectory (90 steps to reach 1)

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

7,204,470 3,602,235 10,806,706 5,403,353 16,210,060 8,105,030 4,052,515 12,157,546 6,078,773 18,236,320 9,118,160 4,559,080 2,279,540 1,139,770 569,885 1,709,656 854,828 427,414 213,707 641,122 320,561 961,684 480,842 240,421 721,264 360,632 180,316 90,158 45,079 135,238 67,619 202,858 101,429 304,288 152,144 76,072 38,036 19,018 9,509 28,528 14,264 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

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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