λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,780,378
57,780,378
2 × 34 × 97 × 3677
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 97 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 130,841,172
Proper Divisor Sum 73,060,794
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57780341 ← → #57780391

Radix Representation

Decimal 57780378
Binary 11011100011010100010011010 (26 bits)
Octal 0o334324232
Hexadecimal 0x371A89A

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1,746 2,619 3,677 5,238 7,354 7,857 11,031 15,714 22,062 33,093 66,186 99,279 198,558 297,837 356,669 595,674 713,338 1,070,007 2,140,014 3,210,021 6,420,042 9,630,063 19,260,126 28,890,189 57,780,378

Collatz Trajectory (238 steps to reach 1)

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

57,780,378 28,890,189 86,670,568 43,335,284 21,667,642 10,833,821 32,501,464 16,250,732 8,125,366 4,062,683 12,188,050 6,094,025 18,282,076 9,141,038 4,570,519 13,711,558 6,855,779 20,567,338 10,283,669 30,851,008 15,425,504 7,712,752 3,856,376 1,928,188 964,094 482,047 1,446,142 723,071 2,169,214 1,084,607 3,253,822 1,626,911 4,880,734 2,440,367 7,321,102 3,660,551 10,981,654 5,490,827 16,472,482 8,236,241 24,708,724 12,354,362 6,177,181 18,531,544 9,265,772 4,632,886 2,316,443 6,949,330 3,474,665 10,423,996 5,211,998 2,605,999 7,817,998 3,908,999 11,726,998 5,863,499 17,590,498 8,795,249 26,385,748 13,192,874

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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