λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,714,657
57,714,657
3 × 7 × 11 × 13 × 19219
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 19219
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,326,720
Proper Divisor Sum 45,612,063
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57714649 ← → #57714667

Radix Representation

Decimal 57714657
Binary 11011100001010011111100001 (26 bits)
Octal 0o334123741
Hexadecimal 0x370A7E1

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 3,003 19,219 57,657 134,533 211,409 249,847 403,599 634,227 749,541 1,479,863 1,748,929 2,748,317 4,439,589 5,246,787 8,244,951 19,238,219 57,714,657

Collatz Trajectory (207 steps to reach 1)

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

57,714,657 173,143,972 86,571,986 43,285,993 129,857,980 64,928,990 32,464,495 97,393,486 48,696,743 146,090,230 73,045,115 219,135,346 109,567,673 328,703,020 164,351,510 82,175,755 246,527,266 123,263,633 369,790,900 184,895,450 92,447,725 277,343,176 138,671,588 69,335,794 34,667,897 104,003,692 52,001,846 26,000,923 78,002,770 39,001,385 117,004,156 58,502,078 29,251,039 87,753,118 43,876,559 131,629,678 65,814,839 197,444,518 98,722,259 296,166,778 148,083,389 444,250,168 222,125,084 111,062,542 55,531,271 166,593,814 83,296,907 249,890,722 124,945,361 374,836,084 187,418,042 93,709,021 281,127,064 140,563,532 70,281,766 35,140,883 105,422,650 52,711,325 158,133,976 79,066,988

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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