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Atlas › Integer Profiles › Node 20,121,530

20,121,530

2 × 5 × 11 × 13 × 14071
Abundant Even Composite

20,121,530 factors as 2 × 5 × 11 × 13 × 14071. Its 32 positive divisors give a proper-divisor sum of 22,432,198, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 14071
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 42,553,728
Proper Divisor Sum 22,432,198
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20121467 ← → #20121533

Radix Representation

Decimal 20121530
Binary 1001100110000011110111010 (25 bits)
Octal 0o114603672
Hexadecimal 0x13307BA

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 14,071 28,142 70,355 140,710 154,781 182,923 309,562 365,846 773,905 914,615 1,547,810 1,829,230 2,012,153 4,024,306 10,060,765 20,121,530

Collatz Trajectory (115 steps to reach 1)

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

20,121,530 10,060,765 30,182,296 15,091,148 7,545,574 3,772,787 11,318,362 5,659,181 16,977,544 8,488,772 4,244,386 2,122,193 6,366,580 3,183,290 1,591,645 4,774,936 2,387,468 1,193,734 596,867 1,790,602 895,301 2,685,904 1,342,952 671,476 335,738 167,869 503,608 251,804 125,902 62,951 188,854 94,427 283,282 141,641 424,924 212,462 106,231 318,694 159,347 478,042 239,021 717,064 358,532 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271

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