2,067,192

2³ × 3² × 28711

Starting at 2,067,192, the Collatz iteration reaches 1 after 197 steps. The first transition is 1033596; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 28711

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,598,840

Proper Divisor Sum 3,531,648

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2067187 ← → #2067209

Radix Representation

Decimal	2067192
Binary	111111000101011111000 (21 bits)
Octal	0o7705370
Hexadecimal	0x1F8AF8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 28,711 57,422 86,133 114,844 172,266 229,688 258,399 344,532 516,798 689,064 1,033,596 2,067,192

Collatz Trajectory (197 steps to reach 1)

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

2,067,192 1,033,596 516,798 258,399 775,198 387,599 1,162,798 581,399 1,744,198 872,099 2,616,298 1,308,149 3,924,448 1,962,224 981,112 490,556 245,278 122,639 367,918 183,959 551,878 275,939 827,818 413,909 1,241,728 620,864 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731

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