2³ × 3⁴ × 5 × 131

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,437,480

Proper Divisor Sum 1,013,040

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #424433 ← → #424451

Radix Representation

Decimal	424440
Binary	1100111100111111000 (19 bits)
Octal	0o1474770
Hexadecimal	0x679F8

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 131 135 162 180 216 262 270 324 360 393 405 524 540 648 655 786 810 1,048 1,080 1,179 1,310 1,572 1,620 1,965 2,358 2,620 3,144 3,240 3,537 3,930 4,716 5,240 5,895 7,074

Collatz Trajectory (125 steps to reach 1)

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

424,440 212,220 106,110 53,055 159,166 79,583 238,750 119,375 358,126 179,063 537,190 268,595 805,786 402,893 1,208,680 604,340 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350 80,675 242,026 121,013 363,040 181,520 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693

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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