λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,413,367
57,413,367
35 × 11 × 47 × 457
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 11 × 47 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,026,112
Proper Divisor Sum 38,612,745
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57413353 ← → #57413387

Radix Representation

Decimal 57413367
Binary 11011011000000111011110111 (26 bits)
Octal 0o333007367
Hexadecimal 0x36C0EF7

Divisor Catalog (48)

1 3 9 11 27 33 47 81 99 141 243 297 423 457 517 891 1,269 1,371 1,551 2,673 3,807 4,113 4,653 5,027 11,421 12,339 13,959 15,081 21,479 37,017 41,877 45,243 64,437 111,051 125,631 135,729 193,311 236,269 407,187 579,933 708,807 1,221,561 1,739,799 2,126,421 5,219,397 6,379,263 19,137,789 57,413,367

Collatz Trajectory (238 steps to reach 1)

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

57,413,367 172,240,102 86,120,051 258,360,154 129,180,077 387,540,232 193,770,116 96,885,058 48,442,529 145,327,588 72,663,794 36,331,897 108,995,692 54,497,846 27,248,923 81,746,770 40,873,385 122,620,156 61,310,078 30,655,039 91,965,118 45,982,559 137,947,678 68,973,839 206,921,518 103,460,759 310,382,278 155,191,139 465,573,418 232,786,709 698,360,128 349,180,064 174,590,032 87,295,016 43,647,508 21,823,754 10,911,877 32,735,632 16,367,816 8,183,908 4,091,954 2,045,977 6,137,932 3,068,966 1,534,483 4,603,450 2,301,725 6,905,176 3,452,588 1,726,294 863,147 2,589,442 1,294,721 3,884,164 1,942,082 971,041 2,913,124 1,456,562 728,281 2,184,844

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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