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Atlas › Integer Profiles › Node 47,127,980

47,127,980

22 × 5 × 19 × 124021
Abundant Even Composite

47,127,980 factors as 2^2 × 5 × 19 × 124021. Its 24 positive divisors give a proper-divisor sum of 57,050,500, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 124021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 104,178,480
Proper Divisor Sum 57,050,500
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47127979 ← → #47127991

Radix Representation

Decimal 47127980
Binary 10110011110001110110101100 (26 bits)
Octal 0o263616654
Hexadecimal 0x2CF1DAC

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 124,021 248,042 496,084 620,105 1,240,210 2,356,399 2,480,420 4,712,798 9,425,596 11,781,995 23,563,990 47,127,980

Collatz Trajectory (186 steps to reach 1)

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

47,127,980 23,563,990 11,781,995 35,345,986 17,672,993 53,018,980 26,509,490 13,254,745 39,764,236 19,882,118 9,941,059 29,823,178 14,911,589 44,734,768 22,367,384 11,183,692 5,591,846 2,795,923 8,387,770 4,193,885 12,581,656 6,290,828 3,145,414 1,572,707 4,718,122 2,359,061 7,077,184 3,538,592 1,769,296 884,648 442,324 221,162 110,581 331,744 165,872 82,936 41,468 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823

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