λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,733,470
57,733,470
2 × 32 × 5 × 31 × 20693
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 20693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 154,956,672
Proper Divisor Sum 97,223,202
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57733469 ← → #57733471

Radix Representation

Decimal 57733470
Binary 11011100001111000101011110 (26 bits)
Octal 0o334170536
Hexadecimal 0x370F15E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1,395 2,790 20,693 41,386 62,079 103,465 124,158 186,237 206,930 310,395 372,474 620,790 641,483 931,185 1,282,966 1,862,370 1,924,449 3,207,415 3,848,898 5,773,347 6,414,830 9,622,245 11,546,694 19,244,490 28,866,735 57,733,470

Collatz Trajectory (176 steps to reach 1)

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

57,733,470 28,866,735 86,600,206 43,300,103 129,900,310 64,950,155 194,850,466 97,425,233 292,275,700 146,137,850 73,068,925 219,206,776 109,603,388 54,801,694 27,400,847 82,202,542 41,101,271 123,303,814 61,651,907 184,955,722 92,477,861 277,433,584 138,716,792 69,358,396 34,679,198 17,339,599 52,018,798 26,009,399 78,028,198 39,014,099 117,042,298 58,521,149 175,563,448 87,781,724 43,890,862 21,945,431 65,836,294 32,918,147 98,754,442 49,377,221 148,131,664 74,065,832 37,032,916 18,516,458 9,258,229 27,774,688 13,887,344 6,943,672 3,471,836 1,735,918 867,959 2,603,878 1,301,939 3,905,818 1,952,909 5,858,728 2,929,364 1,464,682 732,341 2,197,024

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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