2⁵ × 3³ × 5 × 1667

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 1667

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,220,160

Proper Divisor Sum 18,018,720

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7201429 ← → #7201457

Radix Representation

Decimal	7201440
Binary	11011011110001010100000 (23 bits)
Octal	0o33361240
Hexadecimal	0x6DE2A0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1,080 1,440 1,667 2,160 3,334 4,320 5,001 6,668 8,335 10,002 13,336 15,003 16,670 20,004 25,005 26,672

Collatz Trajectory (67 steps to reach 1)

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

7,201,440 3,600,720 1,800,360 900,180 450,090 225,045 675,136 337,568 168,784 84,392 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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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