9,358,188

2² × 3 × 7 × 37 × 3011

Starting at 9,358,188, the Collatz iteration reaches 1 after 181 steps. The first transition is 4679094; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 37 × 3011

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 25,638,144

Proper Divisor Sum 16,279,956

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9358183 ← → #9358189

Radix Representation

Decimal	9358188
Binary	100011101100101101101100 (24 bits)
Octal	0o43545554
Hexadecimal	0x8ECB6C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1,036 1,554 3,011 3,108 6,022 9,033 12,044 18,066 21,077 36,132 42,154 63,231 84,308 111,407 126,462 222,814 252,924 334,221 445,628 668,442 779,849 1,336,884 1,559,698 2,339,547 3,119,396 4,679,094 9,358,188

Collatz Trajectory (181 steps to reach 1)

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

9,358,188 4,679,094 2,339,547 7,018,642 3,509,321 10,527,964 5,263,982 2,631,991 7,895,974 3,947,987 11,843,962 5,921,981 17,765,944 8,882,972 4,441,486 2,220,743 6,662,230 3,331,115 9,993,346 4,996,673 14,990,020 7,495,010 3,747,505 11,242,516 5,621,258 2,810,629 8,431,888 4,215,944 2,107,972 1,053,986 526,993 1,580,980 790,490 395,245 1,185,736 592,868 296,434 148,217 444,652 222,326 111,163 333,490 166,745 500,236 250,118 125,059 375,178 187,589 562,768 281,384 140,692 70,346 35,173 105,520 52,760 26,380 13,190 6,595 19,786 9,893

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