λ
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Atlas › Integer Profiles › Node 99,801

99,801

32 × 13 × 853
Deficient Odd Composite

99,801 has the prime decomposition 3^2 × 13 × 853. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 155,428
Proper Divisor Sum 55,627
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #99793 ← → #99809

Radix Representation

Decimal 99801
Binary 11000010111011001 (17 bits)
Octal 0o302731
Hexadecimal 0x185D9

Divisor Catalog (12)

1 3 9 13 39 117 853 2,559 7,677 11,089 33,267 99,801

Collatz Trajectory (203 steps to reach 1)

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

99,801 299,404 149,702 74,851 224,554 112,277 336,832 168,416 84,208 42,104 21,052 10,526 5,263 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841

More profiles

4,336,389 1,103,625 2,378,433 6,703,917 2,109,898 6,757,035 5,418,622 7,475,851 9,772,518 2,427,933 9,333,330 7,020,697 4,049,550 5,992,089 4,761,446 2,100,944
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