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Ratio Atlas
Atlas › Integer Profiles › Node 438,048
438,048
25 × 34 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^4 × 13^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,395,009
Proper Divisor Sum 956,961
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #438047 ← → #438049

Radix Representation

Decimal 438048
Binary 1101010111100100000 (19 bits)
Octal 0o1527440
Hexadecimal 0x6AF20

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 288 312 324 338 351 416 432 468 507 624 648 676 702 864 936 1,014 1,053 1,248 1,296 1,352 1,404 1,521 1,872 2,028 2,106 2,592

Collatz Trajectory (156 steps to reach 1)

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

438,048 219,024 109,512 54,756 27,378 13,689 41,068 20,534 10,267 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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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