2² × 3² × 5 × 7² × 4649

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 4649

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 144,717,300

Proper Divisor Sum 103,713,120

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41004157 ← → #41004181

Radix Representation

Decimal	41004180
Binary	10011100011010110010010100 (26 bits)
Octal	0o234326224
Hexadecimal	0x271AC94

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1,260 1,470 1,764 2,205 2,940 4,410 4,649 8,820 9,298 13,947 18,596 23,245 27,894

Collatz Trajectory (129 steps to reach 1)

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

41,004,180 20,502,090 10,251,045 30,753,136 15,376,568 7,688,284 3,844,142 1,922,071 5,766,214 2,883,107 8,649,322 4,324,661 12,973,984 6,486,992 3,243,496 1,621,748 810,874 405,437 1,216,312 608,156 304,078 152,039 456,118 228,059 684,178 342,089 1,026,268 513,134 256,567 769,702 384,851 1,154,554 577,277 1,731,832 865,916 432,958 216,479 649,438 324,719 974,158 487,079 1,461,238 730,619 2,191,858 1,095,929 3,287,788 1,643,894 821,947 2,465,842 1,232,921 3,698,764 1,849,382 924,691 2,774,074 1,387,037 4,161,112 2,080,556 1,040,278 520,139 1,560,418

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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