λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,335
57,766,335
3 × 5 × 11 × 41 × 8539
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 41 × 8539
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,299,840
Proper Divisor Sum 45,533,505
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57766333 ← → #57766349

Radix Representation

Decimal 57766335
Binary 11011100010111000110111111 (26 bits)
Octal 0o334270677
Hexadecimal 0x37171BF

Divisor Catalog (32)

1 3 5 11 15 33 41 55 123 165 205 451 615 1,353 2,255 6,765 8,539 25,617 42,695 93,929 128,085 281,787 350,099 469,645 1,050,297 1,408,935 1,750,495 3,851,089 5,251,485 11,553,267 19,255,445 57,766,335

Collatz Trajectory (176 steps to reach 1)

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

57,766,335 173,299,006 86,649,503 259,948,510 129,974,255 389,922,766 194,961,383 584,884,150 292,442,075 877,326,226 438,663,113 1,315,989,340 657,994,670 328,997,335 986,992,006 493,496,003 1,480,488,010 740,244,005 2,220,732,016 1,110,366,008 555,183,004 277,591,502 138,795,751 416,387,254 208,193,627 624,580,882 312,290,441 936,871,324 468,435,662 234,217,831 702,653,494 351,326,747 1,053,980,242 526,990,121 1,580,970,364 790,485,182 395,242,591 1,185,727,774 592,863,887 1,778,591,662 889,295,831 2,667,887,494 1,333,943,747 4,001,831,242 2,000,915,621 6,002,746,864 3,001,373,432 1,500,686,716 750,343,358 375,171,679 1,125,515,038 562,757,519 1,688,272,558 844,136,279 2,532,408,838 1,266,204,419 3,798,613,258 1,899,306,629 5,697,919,888 2,848,959,944

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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