λ
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Atlas › Integer Profiles › Node 56,808,690

56,808,690

2 × 3 × 5 × 37 × 61 × 839
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 61 × 839
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 142,490,880
Proper Divisor Sum 85,682,190
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #56808683 ← → #56808691

Radix Representation

Decimal 56808690
Binary 11011000101101010011110010 (26 bits)
Octal 0o330552362
Hexadecimal 0x362D4F2

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 839 915 1,110 1,678 1,830 2,257 2,517 4,195 4,514 5,034 6,771 8,390 11,285 12,585 13,542 22,570 25,170 31,043 33,855 51,179 62,086 67,710 93,129 102,358 153,537 155,215 186,258 255,895 307,074 310,430 465,645 511,790 767,685 931,290 1,535,370 1,893,623 3,787,246 5,680,869 9,468,115

Collatz Trajectory (243 steps to reach 1)

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

56,808,690 28,404,345 85,213,036 42,606,518 21,303,259 63,909,778 31,954,889 95,864,668 47,932,334 23,966,167 71,898,502 35,949,251 107,847,754 53,923,877 161,771,632 80,885,816 40,442,908 20,221,454 10,110,727 30,332,182 15,166,091 45,498,274 22,749,137 68,247,412 34,123,706 17,061,853 51,185,560 25,592,780 12,796,390 6,398,195 19,194,586 9,597,293 28,791,880 14,395,940 7,197,970 3,598,985 10,796,956 5,398,478 2,699,239 8,097,718 4,048,859 12,146,578 6,073,289 18,219,868 9,109,934 4,554,967 13,664,902 6,832,451 20,497,354 10,248,677 30,746,032 15,373,016 7,686,508 3,843,254 1,921,627 5,764,882 2,882,441 8,647,324 4,323,662 2,161,831

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