λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,749,706
57,749,706
2 × 33 × 7 × 152777
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 152777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 146,666,880
Proper Divisor Sum 88,917,174
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57749693 ← → #57749707

Radix Representation

Decimal 57749706
Binary 11011100010011000011001010 (26 bits)
Octal 0o334230312
Hexadecimal 0x37130CA

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 152,777 305,554 458,331 916,662 1,069,439 1,374,993 2,138,878 2,749,986 3,208,317 4,124,979 6,416,634 8,249,958 9,624,951 19,249,902 28,874,853 57,749,706

Collatz Trajectory (176 steps to reach 1)

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

57,749,706 28,874,853 86,624,560 43,312,280 21,656,140 10,828,070 5,414,035 16,242,106 8,121,053 24,363,160 12,181,580 6,090,790 3,045,395 9,136,186 4,568,093 13,704,280 6,852,140 3,426,070 1,713,035 5,139,106 2,569,553 7,708,660 3,854,330 1,927,165 5,781,496 2,890,748 1,445,374 722,687 2,168,062 1,084,031 3,252,094 1,626,047 4,878,142 2,439,071 7,317,214 3,658,607 10,975,822 5,487,911 16,463,734 8,231,867 24,695,602 12,347,801 37,043,404 18,521,702 9,260,851 27,782,554 13,891,277 41,673,832 20,836,916 10,418,458 5,209,229 15,627,688 7,813,844 3,906,922 1,953,461 5,860,384 2,930,192 1,465,096 732,548 366,274

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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