λ
Ratio Atlas

20,040,191

20040191
Deficient Odd Prime

20,040,191 factors as 20040191. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 20040191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 20,040,192
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #20040187 ← → #20040197

Radix Representation

Decimal 20040191
Binary 1001100011100100111111111 (25 bits)
Octal 0o114344777
Hexadecimal 0x131C9FF

Divisor Catalog (2)

Collatz Trajectory (138 steps to reach 1)

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

20,040,191 60,120,574 30,060,287 90,180,862 45,090,431 135,271,294 67,635,647 202,906,942 101,453,471 304,360,414 152,180,207 456,540,622 228,270,311 684,810,934 342,405,467 1,027,216,402 513,608,201 1,540,824,604 770,412,302 385,206,151 1,155,618,454 577,809,227 1,733,427,682 866,713,841 2,600,141,524 1,300,070,762 650,035,381 1,950,106,144 975,053,072 487,526,536 243,763,268 121,881,634 60,940,817 182,822,452 91,411,226 45,705,613 137,116,840 68,558,420 34,279,210 17,139,605 51,418,816 25,709,408 12,854,704 6,427,352 3,213,676 1,606,838 803,419 2,410,258 1,205,129 3,615,388 1,807,694 903,847 2,711,542 1,355,771 4,067,314 2,033,657 6,100,972 3,050,486 1,525,243 4,575,730

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