2⁴ × 5³ × 7 × 23

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 928,512

Proper Divisor Sum 606,512

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #321991 ← → #322001

Radix Representation

Decimal	322000
Binary	1001110100111010000 (19 bits)
Octal	0o1164720
Hexadecimal	0x4E9D0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1,000 1,150 1,288 1,400 1,610 1,750 1,840 2,000 2,300 2,576 2,800 2,875 3,220 3,500

Collatz Trajectory (122 steps to reach 1)

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

322,000 161,000 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045

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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