99,171

3³ × 3673

Starting at 99,171, the Collatz iteration reaches 1 after 190 steps. The first transition is 297514; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 3673

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 146,960

Proper Divisor Sum 47,789

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #99149 ← → #99173

Radix Representation

Decimal	99171
Binary	11000001101100011 (17 bits)
Octal	0o301543
Hexadecimal	0x18363

Divisor Catalog (8)

1 3 9 27 3,673 11,019 33,057 99,171

Collatz Trajectory (190 steps to reach 1)

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

99,171 297,514 148,757 446,272 223,136 111,568 55,784 27,892 13,946 6,973 20,920 10,460 5,230 2,615 7,846 3,923 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666

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