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Ratio Atlas
Atlas › Integer Profiles › Node 378,750
378,750
2 × 3 × 54 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^4 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 955,944
Proper Divisor Sum 577,194
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #378739 ← → #378757

Radix Representation

Decimal 378750
Binary 1011100011101111110 (19 bits)
Octal 0o1343576
Hexadecimal 0x5C77E

Divisor Catalog (40)

1 2 3 5 6 10 15 25 30 50 75 101 125 150 202 250 303 375 505 606 625 750 1,010 1,250 1,515 1,875 2,525 3,030 3,750 5,050 7,575 12,625 15,150 25,250 37,875 63,125 75,750 126,250 189,375 378,750

Collatz Trajectory (267 steps to reach 1)

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

378,750 189,375 568,126 284,063 852,190 426,095 1,278,286 639,143 1,917,430 958,715 2,876,146 1,438,073 4,314,220 2,157,110 1,078,555 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127 99,624,382 49,812,191 149,436,574 74,718,287 224,154,862 112,077,431

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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