2,165,112

2³ × 3² × 30071

Starting at 2,165,112, the Collatz iteration reaches 1 after 210 steps. The first transition is 1082556; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 30071

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,864,040

Proper Divisor Sum 3,698,928

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2165089 ← → #2165117

Radix Representation

Decimal	2165112
Binary	1000010000100101111000 (22 bits)
Octal	0o10204570
Hexadecimal	0x210978

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 30,071 60,142 90,213 120,284 180,426 240,568 270,639 360,852 541,278 721,704 1,082,556 2,165,112

Collatz Trajectory (210 steps to reach 1)

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

2,165,112 1,082,556 541,278 270,639 811,918 405,959 1,217,878 608,939 1,826,818 913,409 2,740,228 1,370,114 685,057 2,055,172 1,027,586 513,793 1,541,380 770,690 385,345 1,156,036 578,018 289,009 867,028 433,514 216,757 650,272 325,136 162,568 81,284 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408

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