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Atlas › Integer Profiles › Node 84,200,470

84,200,470

2 × 5 × 23 × 41 × 8929
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 23 × 41 × 8929
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 162,025,920
Proper Divisor Sum 77,825,450
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #84200399 ← → #84200477

Radix Representation

Decimal 84200470
Binary 101000001001100110000010110 (27 bits)
Octal 0o501146026
Hexadecimal 0x504CC16

Divisor Catalog (32)

1 2 5 10 23 41 46 82 115 205 230 410 943 1,886 4,715 8,929 9,430 17,858 44,645 89,290 205,367 366,089 410,734 732,178 1,026,835 1,830,445 2,053,670 3,660,890 8,420,047 16,840,094 42,100,235 84,200,470

Collatz Trajectory (161 steps to reach 1)

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

84,200,470 42,100,235 126,300,706 63,150,353 189,451,060 94,725,530 47,362,765 142,088,296 71,044,148 35,522,074 17,761,037 53,283,112 26,641,556 13,320,778 6,660,389 19,981,168 9,990,584 4,995,292 2,497,646 1,248,823 3,746,470 1,873,235 5,619,706 2,809,853 8,429,560 4,214,780 2,107,390 1,053,695 3,161,086 1,580,543 4,741,630 2,370,815 7,112,446 3,556,223 10,668,670 5,334,335 16,003,006 8,001,503 24,004,510 12,002,255 36,006,766 18,003,383 54,010,150 27,005,075 81,015,226 40,507,613 121,522,840 60,761,420 30,380,710 15,190,355 45,571,066 22,785,533 68,356,600 34,178,300 17,089,150 8,544,575 25,633,726 12,816,863 38,450,590 19,225,295

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