2³ × 3² × 7² × 41

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 466,830

Proper Divisor Sum 322,182

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #144629 ← → #144659

Radix Representation

Decimal	144648
Binary	100011010100001000 (18 bits)
Octal	0o432410
Hexadecimal	0x23508

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 49 56 63 72 82 84 98 123 126 147 164 168 196 246 252 287 294 328 369 392 441 492 504 574 588 738 861 882 984 1,148 1,176 1,476 1,722 1,764 2,009 2,296 2,583 2,952 3,444 3,528 4,018 5,166 6,027

Collatz Trajectory (95 steps to reach 1)

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

144,648 72,324 36,162 18,081 54,244 27,122 13,561 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 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 2,180 1,090 545 1,636 818 409 1,228 614 307 922

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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