λ
Ratio Atlas

82,485,202

2 × 1109 × 37189
Deficient Even Composite

82,485,202 factors as 2 × 1109 × 37189. Its 8 positive divisors give a proper-divisor sum of 41,357,498, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 1109 × 37189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 123,842,700
Proper Divisor Sum 41,357,498
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #82485191 ← → #82485233

Radix Representation

Decimal 82485202
Binary 100111010101001111111010010 (27 bits)
Octal 0o472517722
Hexadecimal 0x4EA9FD2

Divisor Catalog (8)

Collatz Trajectory (210 steps to reach 1)

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

82,485,202 41,242,601 123,727,804 61,863,902 30,931,951 92,795,854 46,397,927 139,193,782 69,596,891 208,790,674 104,395,337 313,186,012 156,593,006 78,296,503 234,889,510 117,444,755 352,334,266 176,167,133 528,501,400 264,250,700 132,125,350 66,062,675 198,188,026 99,094,013 297,282,040 148,641,020 74,320,510 37,160,255 111,480,766 55,740,383 167,221,150 83,610,575 250,831,726 125,415,863 376,247,590 188,123,795 564,371,386 282,185,693 846,557,080 423,278,540 211,639,270 105,819,635 317,458,906 158,729,453 476,188,360 238,094,180 119,047,090 59,523,545 178,570,636 89,285,318 44,642,659 133,927,978 66,963,989 200,891,968 100,445,984 50,222,992 25,111,496 12,555,748 6,277,874 3,138,937

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