λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,766,518
57,766,518
2 × 32 × 89 × 107 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 89 × 107 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,129,040
Proper Divisor Sum 70,362,522
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57766481 ← → #57766519

Radix Representation

Decimal 57766518
Binary 11011100010111001001110110 (26 bits)
Octal 0o334271166
Hexadecimal 0x3717276

Divisor Catalog (48)

1 2 3 6 9 18 89 107 178 214 267 321 337 534 642 674 801 963 1,011 1,602 1,926 2,022 3,033 6,066 9,523 19,046 28,569 29,993 36,059 57,138 59,986 72,118 85,707 89,979 108,177 171,414 179,958 216,354 269,937 324,531 539,874 649,062 3,209,251 6,418,502 9,627,753 19,255,506 28,883,259 57,766,518

Collatz Trajectory (238 steps to reach 1)

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

57,766,518 28,883,259 86,649,778 43,324,889 129,974,668 64,987,334 32,493,667 97,481,002 48,740,501 146,221,504 73,110,752 36,555,376 18,277,688 9,138,844 4,569,422 2,284,711 6,854,134 3,427,067 10,281,202 5,140,601 15,421,804 7,710,902 3,855,451 11,566,354 5,783,177 17,349,532 8,674,766 4,337,383 13,012,150 6,506,075 19,518,226 9,759,113 29,277,340 14,638,670 7,319,335 21,958,006 10,979,003 32,937,010 16,468,505 49,405,516 24,702,758 12,351,379 37,054,138 18,527,069 55,581,208 27,790,604 13,895,302 6,947,651 20,842,954 10,421,477 31,264,432 15,632,216 7,816,108 3,908,054 1,954,027 5,862,082 2,931,041 8,793,124 4,396,562 2,198,281

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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