2 × 3³ × 5 × 7 × 29 × 67

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 29 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 11,750,400

Proper Divisor Sum 8,078,130

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3672257 ← → #3672281

Radix Representation

Decimal	3672270
Binary	1110000000100011001110 (22 bits)
Octal	0o16004316
Hexadecimal	0x3808CE

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 67 70 87 90 105 126 134 135 145 174 189 201 203 210 261 270 290 315 335 378 402 406 435 469 522 603 609 630 670 783 870 938 945 1,005 1,015 1,206 1,218 1,305 1,407

Collatz Trajectory (141 steps to reach 1)

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

3,672,270 1,836,135 5,508,406 2,754,203 8,262,610 4,131,305 12,393,916 6,196,958 3,098,479 9,295,438 4,647,719 13,943,158 6,971,579 20,914,738 10,457,369 31,372,108 15,686,054 7,843,027 23,529,082 11,764,541 35,293,624 17,646,812 8,823,406 4,411,703 13,235,110 6,617,555 19,852,666 9,926,333 29,779,000 14,889,500 7,444,750 3,722,375 11,167,126 5,583,563 16,750,690 8,375,345 25,126,036 12,563,018 6,281,509 18,844,528 9,422,264 4,711,132 2,355,566 1,177,783 3,533,350 1,766,675 5,300,026 2,650,013 7,950,040 3,975,020 1,987,510 993,755 2,981,266 1,490,633 4,471,900 2,235,950 1,117,975 3,353,926 1,676,963 5,030,890

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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