2⁴ × 5 × 7 × 13 × 61

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,291,584

Proper Divisor Sum 847,504

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #444079 ← → #444089

Radix Representation

Decimal	444080
Binary	1101100011010110000 (19 bits)
Octal	0o1543260
Hexadecimal	0x6C6B0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 61 65 70 80 91 104 112 122 130 140 182 208 244 260 280 305 364 427 455 488 520 560 610 728 793 854 910 976 1,040 1,220 1,456 1,586 1,708 1,820 2,135 2,440 3,172 3,416 3,640 3,965 4,270 4,880 5,551

Collatz Trajectory (187 steps to reach 1)

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

444,080 222,040 111,020 55,510 27,755 83,266 41,633 124,900 62,450 31,225 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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