2² × 3³ × 5 × 13 × 67

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,599,360

Proper Divisor Sum 1,129,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #470333 ← → #470347

Radix Representation

Decimal	470340
Binary	1110010110101000100 (19 bits)
Octal	0o1626504
Hexadecimal	0x72D44

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 67 78 90 108 117 130 134 135 156 180 195 201 234 260 268 270 335 351 390 402 468 540 585 603 670 702 780 804 871 1,005 1,170 1,206 1,340 1,404 1,742 1,755 1,809

Collatz Trajectory (200 steps to reach 1)

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

470,340 235,170 117,585 352,756 176,378 88,189 264,568 132,284 66,142 33,071 99,214 49,607 148,822 74,411 223,234 111,617 334,852 167,426 83,713 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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