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Atlas › Integer Profiles › Node 52,591,938

52,591,938

2 × 3 × 7 × 23 × 54443
Abundant Even Composite

52,591,938 factors as 2 × 3 × 7 × 23 × 54443. Its 32 positive divisors give a proper-divisor sum of 72,847,038, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 54443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,438,976
Proper Divisor Sum 72,847,038
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #52591937 ← → #52591963

Radix Representation

Decimal 52591938
Binary 11001000100111110101000010 (26 bits)
Octal 0o310476502
Hexadecimal 0x3227D42

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 54,443 108,886 163,329 326,658 381,101 762,202 1,143,303 1,252,189 2,286,606 2,504,378 3,756,567 7,513,134 8,765,323 17,530,646 26,295,969 52,591,938

Collatz Trajectory (168 steps to reach 1)

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

52,591,938 26,295,969 78,887,908 39,443,954 19,721,977 59,165,932 29,582,966 14,791,483 44,374,450 22,187,225 66,561,676 33,280,838 16,640,419 49,921,258 24,960,629 74,881,888 37,440,944 18,720,472 9,360,236 4,680,118 2,340,059 7,020,178 3,510,089 10,530,268 5,265,134 2,632,567 7,897,702 3,948,851 11,846,554 5,923,277 17,769,832 8,884,916 4,442,458 2,221,229 6,663,688 3,331,844 1,665,922 832,961 2,498,884 1,249,442 624,721 1,874,164 937,082 468,541 1,405,624 702,812 351,406 175,703 527,110 263,555 790,666 395,333 1,186,000 593,000 296,500 148,250 74,125 222,376 111,188 55,594

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