2² × 3³ × 5² × 17

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 156,240

Proper Divisor Sum 110,340

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #45893 ← → #45943

Radix Representation

Decimal	45900
Binary	1011001101001100 (16 bits)
Octal	0o131514
Hexadecimal	0xB34C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1,020 1,275 1,350 1,530 1,700 1,836 2,295

Collatz Trajectory (114 steps to reach 1)

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

45,900 22,950 11,475 34,426 17,213 51,640 25,820 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486

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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