λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,830
57,770,830
2 × 5 × 13 × 192 × 1231
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 19^2 × 1231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,286,784
Proper Divisor Sum 60,515,954
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57770827 ← → #57770831

Radix Representation

Decimal 57770830
Binary 11011100011000001101001110 (26 bits)
Octal 0o334301516
Hexadecimal 0x371834E

Divisor Catalog (48)

1 2 5 10 13 19 26 38 65 95 130 190 247 361 494 722 1,231 1,235 1,805 2,462 2,470 3,610 4,693 6,155 9,386 12,310 16,003 23,389 23,465 32,006 46,778 46,930 80,015 116,945 160,030 233,890 304,057 444,391 608,114 888,782 1,520,285 2,221,955 3,040,570 4,443,910 5,777,083 11,554,166 28,885,415 57,770,830

Collatz Trajectory (269 steps to reach 1)

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

57,770,830 28,885,415 86,656,246 43,328,123 129,984,370 64,992,185 194,976,556 97,488,278 48,744,139 146,232,418 73,116,209 219,348,628 109,674,314 54,837,157 164,511,472 82,255,736 41,127,868 20,563,934 10,281,967 30,845,902 15,422,951 46,268,854 23,134,427 69,403,282 34,701,641 104,104,924 52,052,462 26,026,231 78,078,694 39,039,347 117,118,042 58,559,021 175,677,064 87,838,532 43,919,266 21,959,633 65,878,900 32,939,450 16,469,725 49,409,176 24,704,588 12,352,294 6,176,147 18,528,442 9,264,221 27,792,664 13,896,332 6,948,166 3,474,083 10,422,250 5,211,125 15,633,376 7,816,688 3,908,344 1,954,172 977,086 488,543 1,465,630 732,815 2,198,446

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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