2⁴ × 5² × 7 × 31 × 83

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 31 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 20,665,344

Proper Divisor Sum 13,460,944

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7204391 ← → #7204403

Radix Representation

Decimal	7204400
Binary	11011011110111000110000 (23 bits)
Octal	0o33367060
Hexadecimal	0x6DEE30

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 83 100 112 124 140 155 166 175 200 217 248 280 310 332 350 400 415 434 496 560 581 620 664 700 775 830 868 1,085 1,162 1,240 1,328 1,400 1,550 1,660 1,736 2,075 2,170 2,324 2,480 2,573

Collatz Trajectory (116 steps to reach 1)

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

7,204,400 3,602,200 1,801,100 900,550 450,275 1,350,826 675,413 2,026,240 1,013,120 506,560 253,280 126,640 63,320 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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