2 × 3³ × 5² × 23 × 29 × 41

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 23 × 29 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 112,492,800

Proper Divisor Sum 75,574,350

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36918449 ← → #36918451

Radix Representation

Decimal	36918450
Binary	10001100110101010010110010 (26 bits)
Octal	0o214652262
Hexadecimal	0x23354B2

Divisor Catalog (60 of 192)

1 2 3 5 6 9 10 15 18 23 25 27 29 30 41 45 46 50 54 58 69 75 82 87 90 115 123 135 138 145 150 174 205 207 225 230 246 261 270 290 345 369 410 414 435 450 522 575 615 621 667 675 690 725 738 783 870 943 1,025 1,035

Collatz Trajectory (188 steps to reach 1)

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

36,918,450 18,459,225 55,377,676 27,688,838 13,844,419 41,533,258 20,766,629 62,299,888 31,149,944 15,574,972 7,787,486 3,893,743 11,681,230 5,840,615 17,521,846 8,760,923 26,282,770 13,141,385 39,424,156 19,712,078 9,856,039 29,568,118 14,784,059 44,352,178 22,176,089 66,528,268 33,264,134 16,632,067 49,896,202 24,948,101 74,844,304 37,422,152 18,711,076 9,355,538 4,677,769 14,033,308 7,016,654 3,508,327 10,524,982 5,262,491 15,787,474 7,893,737 23,681,212 11,840,606 5,920,303 17,760,910 8,880,455 26,641,366 13,320,683 39,962,050 19,981,025 59,943,076 29,971,538 14,985,769 44,957,308 22,478,654 11,239,327 33,717,982 16,858,991 50,576,974

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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