2² × 3² × 5 × 7³ × 67

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^3 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,851,200

Proper Divisor Sum 10,714,620

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4136579 ← → #4136581

Radix Representation

Decimal	4136580
Binary	1111110001111010000100 (22 bits)
Octal	0o17617204
Hexadecimal	0x3F1E84

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 67 70 84 90 98 105 126 134 140 147 180 196 201 210 245 252 268 294 315 335 343 402 420 441 469 490 588 603 630 670 686 735 804 882 938 980

Collatz Trajectory (79 steps to reach 1)

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

4,136,580 2,068,290 1,034,145 3,102,436 1,551,218 775,609 2,326,828 1,163,414 581,707 1,745,122 872,561 2,617,684 1,308,842 654,421 1,963,264 981,632 490,816 245,408 122,704 61,352 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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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