2⁴ × 3² × 5² × 17 × 67

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 17 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 15,291,432

Proper Divisor Sum 11,191,032

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #4100399 ← → #4100407

Radix Representation

Decimal	4100400
Binary	1111101001000100110000 (22 bits)
Octal	0o17510460
Hexadecimal	0x3E9130

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 67 68 72 75 80 85 90 100 102 120 134 136 144 150 153 170 180 200 201 204 225 240 255 268 272 300 306 335 340 360 400 402 408 425

Collatz Trajectory (185 steps to reach 1)

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

4,100,400 2,050,200 1,025,100 512,550 256,275 768,826 384,413 1,153,240 576,620 288,310 144,155 432,466 216,233 648,700 324,350 162,175 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285 5,541,856 2,770,928 1,385,464 692,732 346,366 173,183 519,550 259,775 779,326 389,663 1,168,990 584,495 1,753,486 876,743 2,630,230 1,315,115 3,945,346 1,972,673 5,918,020 2,959,010 1,479,505 4,438,516 2,219,258 1,109,629 3,328,888 1,664,444 832,222 416,111 1,248,334 624,167 1,872,502 936,251

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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