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Atlas › Integer Profiles › Node 84,097,852

84,097,852

22 × 43 × 47 × 101 × 103
Deficient Even Composite

84,097,852 factors as 2^2 × 43 × 47 × 101 × 103. Its 48 positive divisors give a proper-divisor sum of 72,730,820, so this integer is deficient. The Collatz stopping time is 342 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 47 × 101 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 156,828,672
Proper Divisor Sum 72,730,820
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #84097843 ← → #84097859

Radix Representation

Decimal 84097852
Binary 101000000110011101100111100 (27 bits)
Octal 0o500635474
Hexadecimal 0x5033B3C

Divisor Catalog (48)

1 2 4 43 47 86 94 101 103 172 188 202 206 404 412 2,021 4,042 4,343 4,429 4,747 4,841 8,084 8,686 8,858 9,494 9,682 10,403 17,372 17,716 18,988 19,364 20,806 41,612 204,121 208,163 408,242 416,326 447,329 488,941 816,484 832,652 894,658 977,882 1,789,316 1,955,764 21,024,463 42,048,926 84,097,852

Collatz Trajectory (342 steps to reach 1)

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

84,097,852 42,048,926 21,024,463 63,073,390 31,536,695 94,610,086 47,305,043 141,915,130 70,957,565 212,872,696 106,436,348 53,218,174 26,609,087 79,827,262 39,913,631 119,740,894 59,870,447 179,611,342 89,805,671 269,417,014 134,708,507 404,125,522 202,062,761 606,188,284 303,094,142 151,547,071 454,641,214 227,320,607 681,961,822 340,980,911 1,022,942,734 511,471,367 1,534,414,102 767,207,051 2,301,621,154 1,150,810,577 3,452,431,732 1,726,215,866 863,107,933 2,589,323,800 1,294,661,900 647,330,950 323,665,475 970,996,426 485,498,213 1,456,494,640 728,247,320 364,123,660 182,061,830 91,030,915 273,092,746 136,546,373 409,639,120 204,819,560 102,409,780 51,204,890 25,602,445 76,807,336 38,403,668 19,201,834

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