2³ × 3⁷ × 7 × 59

Prime Factor Structure

Factorization String 2^3 × 3^7 × 7 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,616,000

Proper Divisor Sum 16,390,152

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7225837 ← → #7225853

Radix Representation

Decimal	7225848
Binary	11011100100000111111000 (23 bits)
Octal	0o33440770
Hexadecimal	0x6E41F8

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 81 84 108 118 126 162 168 177 189 216 236 243 252 324 354 378 413 472 486 504 531 567 648 708 729 756 826 972 1,062 1,134 1,239 1,416 1,458 1,512 1,593 1,652 1,701 1,944

Collatz Trajectory (191 steps to reach 1)

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

7,225,848 3,612,924 1,806,462 903,231 2,709,694 1,354,847 4,064,542 2,032,271 6,096,814 3,048,407 9,145,222 4,572,611 13,717,834 6,858,917 20,576,752 10,288,376 5,144,188 2,572,094 1,286,047 3,858,142 1,929,071 5,787,214 2,893,607 8,680,822 4,340,411 13,021,234 6,510,617 19,531,852 9,765,926 4,882,963 14,648,890 7,324,445 21,973,336 10,986,668 5,493,334 2,746,667 8,240,002 4,120,001 12,360,004 6,180,002 3,090,001 9,270,004 4,635,002 2,317,501 6,952,504 3,476,252 1,738,126 869,063 2,607,190 1,303,595 3,910,786 1,955,393 5,866,180 2,933,090 1,466,545 4,399,636 2,199,818 1,099,909 3,299,728 1,649,864

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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