2³ × 3² × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,497,600

Proper Divisor Sum 1,047,528

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #450071 ← → #450077

Radix Representation

Decimal	450072
Binary	1101101111000011000 (19 bits)
Octal	0o1557030
Hexadecimal	0x6DE18

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 47 56 57 63 72 76 84 94 114 126 133 141 152 168 171 188 228 252 266 282 329 342 376 399 423 456 504 532 564 658 684 798 846 893 987 1,064 1,128 1,197 1,316 1,368 1,596 1,692

Collatz Trajectory (86 steps to reach 1)

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

450,072 225,036 112,518 56,259 168,778 84,389 253,168 126,584 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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