82,194,424

2³ × 13 × 790331

82,194,424 factors as 2^3 × 13 × 790331. Its 16 positive divisors give a proper-divisor sum of 83,775,296, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 790331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 165,969,720

Proper Divisor Sum 83,775,296

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #82194419 ← → #82194443

Radix Representation

Decimal	82194424
Binary	100111001100010111111111000 (27 bits)
Octal	0o471427770
Hexadecimal	0x4E62FF8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 790,331 1,580,662 3,161,324 6,322,648 10,274,303 20,548,606 41,097,212 82,194,424

Collatz Trajectory (210 steps to reach 1)

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

82,194,424 41,097,212 20,548,606 10,274,303 30,822,910 15,411,455 46,234,366 23,117,183 69,351,550 34,675,775 104,027,326 52,013,663 156,040,990 78,020,495 234,061,486 117,030,743 351,092,230 175,546,115 526,638,346 263,319,173 789,957,520 394,978,760 197,489,380 98,744,690 49,372,345 148,117,036 74,058,518 37,029,259 111,087,778 55,543,889 166,631,668 83,315,834 41,657,917 124,973,752 62,486,876 31,243,438 15,621,719 46,865,158 23,432,579 70,297,738 35,148,869 105,446,608 52,723,304 26,361,652 13,180,826 6,590,413 19,771,240 9,885,620 4,942,810 2,471,405 7,414,216 3,707,108 1,853,554 926,777 2,780,332 1,390,166 695,083 2,085,250 1,042,625 3,127,876

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