2⁴ × 3² × 5³ × 739

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 46,522,320

Proper Divisor Sum 33,220,320

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #13301989 ← → #13302011

Radix Representation

Decimal	13302000
Binary	110010101111100011110000 (24 bits)
Octal	0o62574360
Hexadecimal	0xCAF8F0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 739 750 900 1,000 1,125 1,200 1,478 1,500 1,800 2,000 2,217 2,250 2,956 3,000 3,600

Collatz Trajectory (254 steps to reach 1)

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

13,302,000 6,651,000 3,325,500 1,662,750 831,375 2,494,126 1,247,063 3,741,190 1,870,595 5,611,786 2,805,893 8,417,680 4,208,840 2,104,420 1,052,210 526,105 1,578,316 789,158 394,579 1,183,738 591,869 1,775,608 887,804 443,902 221,951 665,854 332,927 998,782 499,391 1,498,174 749,087 2,247,262 1,123,631 3,370,894 1,685,447 5,056,342 2,528,171 7,584,514 3,792,257 11,376,772 5,688,386 2,844,193 8,532,580 4,266,290 2,133,145 6,399,436 3,199,718 1,599,859 4,799,578 2,399,789 7,199,368 3,599,684 1,799,842 899,921 2,699,764 1,349,882 674,941 2,024,824 1,012,412 506,206

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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