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Atlas › Integer Profiles › Node 52,591,890

52,591,890

2 × 3 × 5 × 13 × 134851
Abundant Even Composite

52,591,890 factors as 2 × 3 × 5 × 13 × 134851. Its 32 positive divisors give a proper-divisor sum of 83,338,926, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 134851
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 135,930,816
Proper Divisor Sum 83,338,926
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #52591879 ← → #52591909

Radix Representation

Decimal 52591890
Binary 11001000100111110100010010 (26 bits)
Octal 0o310476422
Hexadecimal 0x3227D12

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 134,851 269,702 404,553 674,255 809,106 1,348,510 1,753,063 2,022,765 3,506,126 4,045,530 5,259,189 8,765,315 10,518,378 17,530,630 26,295,945 52,591,890

Collatz Trajectory (173 steps to reach 1)

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

52,591,890 26,295,945 78,887,836 39,443,918 19,721,959 59,165,878 29,582,939 88,748,818 44,374,409 133,123,228 66,561,614 33,280,807 99,842,422 49,921,211 149,763,634 74,881,817 224,645,452 112,322,726 56,161,363 168,484,090 84,242,045 252,726,136 126,363,068 63,181,534 31,590,767 94,772,302 47,386,151 142,158,454 71,079,227 213,237,682 106,618,841 319,856,524 159,928,262 79,964,131 239,892,394 119,946,197 359,838,592 179,919,296 89,959,648 44,979,824 22,489,912 11,244,956 5,622,478 2,811,239 8,433,718 4,216,859 12,650,578 6,325,289 18,975,868 9,487,934 4,743,967 14,231,902 7,115,951 21,347,854 10,673,927 32,021,782 16,010,891 48,032,674 24,016,337 72,049,012

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