λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,798,279
57,798,279
35 × 7 × 11 × 3089
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 11 × 3089
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,976,960
Proper Divisor Sum 50,178,681
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #57798277 ← → #57798311

Radix Representation

Decimal 57798279
Binary 11011100011110111010000111 (26 bits)
Octal 0o334367207
Hexadecimal 0x371EE87

Divisor Catalog (48)

1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 891 1,701 2,079 2,673 3,089 6,237 9,267 18,711 21,623 27,801 33,979 64,869 83,403 101,937 194,607 237,853 250,209 305,811 583,821 713,559 750,627 917,433 1,751,463 2,140,677 2,752,299 5,254,389 6,422,031 8,256,897 19,266,093 57,798,279

Collatz Trajectory (238 steps to reach 1)

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

57,798,279 173,394,838 86,697,419 260,092,258 130,046,129 390,138,388 195,069,194 97,534,597 292,603,792 146,301,896 73,150,948 36,575,474 18,287,737 54,863,212 27,431,606 13,715,803 41,147,410 20,573,705 61,721,116 30,860,558 15,430,279 46,290,838 23,145,419 69,436,258 34,718,129 104,154,388 52,077,194 26,038,597 78,115,792 39,057,896 19,528,948 9,764,474 4,882,237 14,646,712 7,323,356 3,661,678 1,830,839 5,492,518 2,746,259 8,238,778 4,119,389 12,358,168 6,179,084 3,089,542 1,544,771 4,634,314 2,317,157 6,951,472 3,475,736 1,737,868 868,934 434,467 1,303,402 651,701 1,955,104 977,552 488,776 244,388 122,194 61,097

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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