λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,769,218
57,769,218
2 × 32 × 13 × 29 × 8513
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 29 × 8513
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 139,459,320
Proper Divisor Sum 81,690,102
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57769211 ← → #57769219

Radix Representation

Decimal 57769218
Binary 11011100010111110100000010 (26 bits)
Octal 0o334276402
Hexadecimal 0x3717D02

Divisor Catalog (48)

1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1,131 2,262 3,393 6,786 8,513 17,026 25,539 51,078 76,617 110,669 153,234 221,338 246,877 332,007 493,754 664,014 740,631 996,021 1,481,262 1,992,042 2,221,893 3,209,401 4,443,786 6,418,802 9,628,203 19,256,406 28,884,609 57,769,218

Collatz Trajectory (269 steps to reach 1)

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

57,769,218 28,884,609 86,653,828 43,326,914 21,663,457 64,990,372 32,495,186 16,247,593 48,742,780 24,371,390 12,185,695 36,557,086 18,278,543 54,835,630 27,417,815 82,253,446 41,126,723 123,380,170 61,690,085 185,070,256 92,535,128 46,267,564 23,133,782 11,566,891 34,700,674 17,350,337 52,051,012 26,025,506 13,012,753 39,038,260 19,519,130 9,759,565 29,278,696 14,639,348 7,319,674 3,659,837 10,979,512 5,489,756 2,744,878 1,372,439 4,117,318 2,058,659 6,175,978 3,087,989 9,263,968 4,631,984 2,315,992 1,157,996 578,998 289,499 868,498 434,249 1,302,748 651,374 325,687 977,062 488,531 1,465,594 732,797 2,198,392

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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