λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,747,710
57,747,710
2 × 5 × 23 × 43 × 5839
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 23 × 43 × 5839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,006,720
Proper Divisor Sum 53,259,010
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57747709 ← → #57747719

Radix Representation

Decimal 57747710
Binary 11011100010010100011111110 (26 bits)
Octal 0o334224376
Hexadecimal 0x37128FE

Divisor Catalog (32)

1 2 5 10 23 43 46 86 115 215 230 430 989 1,978 4,945 5,839 9,890 11,678 29,195 58,390 134,297 251,077 268,594 502,154 671,485 1,255,385 1,342,970 2,510,770 5,774,771 11,549,542 28,873,855 57,747,710

Collatz Trajectory (207 steps to reach 1)

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

57,747,710 28,873,855 86,621,566 43,310,783 129,932,350 64,966,175 194,898,526 97,449,263 292,347,790 146,173,895 438,521,686 219,260,843 657,782,530 328,891,265 986,673,796 493,336,898 246,668,449 740,005,348 370,002,674 185,001,337 555,004,012 277,502,006 138,751,003 416,253,010 208,126,505 624,379,516 312,189,758 156,094,879 468,284,638 234,142,319 702,426,958 351,213,479 1,053,640,438 526,820,219 1,580,460,658 790,230,329 2,370,690,988 1,185,345,494 592,672,747 1,778,018,242 889,009,121 2,667,027,364 1,333,513,682 666,756,841 2,000,270,524 1,000,135,262 500,067,631 1,500,202,894 750,101,447 2,250,304,342 1,125,152,171 3,375,456,514 1,687,728,257 5,063,184,772 2,531,592,386 1,265,796,193 3,797,388,580 1,898,694,290 949,347,145 2,848,041,436

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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