2,213,262

2 × 3² × 41 × 2999

Starting at 2,213,262, the Collatz iteration reaches 1 after 117 steps. The first transition is 1106631; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,914,000

Proper Divisor Sum 2,700,738

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2213243 ← → #2213279

Radix Representation

Decimal	2213262
Binary	1000011100010110001110 (22 bits)
Octal	0o10342616
Hexadecimal	0x21C58E

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 2,999 5,998 8,997 17,994 26,991 53,982 122,959 245,918 368,877 737,754 1,106,631 2,213,262

Collatz Trajectory (117 steps to reach 1)

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

2,213,262 1,106,631 3,319,894 1,659,947 4,979,842 2,489,921 7,469,764 3,734,882 1,867,441 5,602,324 2,801,162 1,400,581 4,201,744 2,100,872 1,050,436 525,218 262,609 787,828 393,914 196,957 590,872 295,436 147,718 73,859 221,578 110,789 332,368 166,184 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342

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