λ
Ratio Atlas
Atlas › Integer Profiles › Node 447,440
447,440
24 × 5 × 7 × 17 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,285,632
Proper Divisor Sum 838,192
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #447439 ← → #447443

Radix Representation

Decimal 447440
Binary 1101101001111010000 (19 bits)
Octal 0o1551720
Hexadecimal 0x6D3D0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 56 68 70 80 85 94 112 119 136 140 170 188 235 238 272 280 329 340 376 470 476 560 595 658 680 752 799 940 952 1,190 1,316 1,360 1,598 1,645 1,880 1,904 2,380 2,632 3,196 3,290 3,760 3,995 4,760 5,264

Collatz Trajectory (63 steps to reach 1)

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

447,440 223,720 111,860 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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