λ
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Atlas › Integer Profiles › Node 20,095,980

20,095,980

22 × 3 × 5 × 67 × 4999
Abundant Even Composite

20,095,980 factors as 2^2 × 3 × 5 × 67 × 4999. Its 48 positive divisors give a proper-divisor sum of 37,024,020, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 67 × 4999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 57,120,000
Proper Divisor Sum 37,024,020
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #20095973 ← → #20095981

Radix Representation

Decimal 20095980
Binary 1001100101010001111101100 (25 bits)
Octal 0o114521754
Hexadecimal 0x132A3EC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1,005 1,340 2,010 4,020 4,999 9,998 14,997 19,996 24,995 29,994 49,990 59,988 74,985 99,980 149,970 299,940 334,933 669,866 1,004,799 1,339,732 1,674,665 2,009,598 3,349,330 4,019,196 5,023,995 6,698,660 10,047,990 20,095,980

Collatz Trajectory (164 steps to reach 1)

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

20,095,980 10,047,990 5,023,995 15,071,986 7,535,993 22,607,980 11,303,990 5,651,995 16,955,986 8,477,993 25,433,980 12,716,990 6,358,495 19,075,486 9,537,743 28,613,230 14,306,615 42,919,846 21,459,923 64,379,770 32,189,885 96,569,656 48,284,828 24,142,414 12,071,207 36,213,622 18,106,811 54,320,434 27,160,217 81,480,652 40,740,326 20,370,163 61,110,490 30,555,245 91,665,736 45,832,868 22,916,434 11,458,217 34,374,652 17,187,326 8,593,663 25,780,990 12,890,495 38,671,486 19,335,743 58,007,230 29,003,615 87,010,846 43,505,423 130,516,270 65,258,135 195,774,406 97,887,203 293,661,610 146,830,805 440,492,416 220,246,208 110,123,104 55,061,552 27,530,776

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