2,110,032

2⁴ × 3² × 14653

Starting at 2,110,032, the Collatz iteration reaches 1 after 47 steps. The first transition is 1055016; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 14653

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 5,905,562

Proper Divisor Sum 3,795,530

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2110027 ← → #2110033

Radix Representation

Decimal	2110032
Binary	1000000011001001010000 (22 bits)
Octal	0o10031120
Hexadecimal	0x203250

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14,653 29,306 43,959 58,612 87,918 117,224 131,877 175,836 234,448 263,754 351,672 527,508 703,344 1,055,016 2,110,032

Collatz Trajectory (47 steps to reach 1)

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

2,110,032 1,055,016 527,508 263,754 131,877 395,632 197,816 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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