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Atlas › Integer Profiles › Node 20,009,997

20,009,997

34 × 7 × 35291
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 35291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 34,162,656
Proper Divisor Sum 14,152,659
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #20009987 ← → #20009999

Radix Representation

Decimal 20009997
Binary 1001100010101010000001101 (25 bits)
Octal 0o114252015
Hexadecimal 0x131540D

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 35,291 105,873 247,037 317,619 741,111 952,857 2,223,333 2,858,571 6,669,999 20,009,997

Collatz Trajectory (239 steps to reach 1)

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

20,009,997 60,029,992 30,014,996 15,007,498 7,503,749 22,511,248 11,255,624 5,627,812 2,813,906 1,406,953 4,220,860 2,110,430 1,055,215 3,165,646 1,582,823 4,748,470 2,374,235 7,122,706 3,561,353 10,684,060 5,342,030 2,671,015 8,013,046 4,006,523 12,019,570 6,009,785 18,029,356 9,014,678 4,507,339 13,522,018 6,761,009 20,283,028 10,141,514 5,070,757 15,212,272 7,606,136 3,803,068 1,901,534 950,767 2,852,302 1,426,151 4,278,454 2,139,227 6,417,682 3,208,841 9,626,524 4,813,262 2,406,631 7,219,894 3,609,947 10,829,842 5,414,921 16,244,764 8,122,382 4,061,191 12,183,574 6,091,787 18,275,362 9,137,681 27,413,044

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