2,444,532

2² × 3 × 17 × 23 × 521

Starting at 2,444,532, the Collatz iteration reaches 1 after 174 steps. The first transition is 1222266; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 23 × 521

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,314,112

Proper Divisor Sum 3,869,580

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2444531 ← → #2444537

Radix Representation

Decimal	2444532
Binary	1001010100110011110100 (22 bits)
Octal	0o11246364
Hexadecimal	0x254CF4

Divisor Catalog (48)

1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 521 782 1,042 1,173 1,563 1,564 2,084 2,346 3,126 4,692 6,252 8,857 11,983 17,714 23,966 26,571 35,428 35,949 47,932 53,142 71,898 106,284 143,796 203,711 407,422 611,133 814,844 1,222,266 2,444,532

Collatz Trajectory (174 steps to reach 1)

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

2,444,532 1,222,266 611,133 1,833,400 916,700 458,350 229,175 687,526 343,763 1,031,290 515,645 1,546,936 773,468 386,734 193,367 580,102 290,051 870,154 435,077 1,305,232 652,616 326,308 163,154 81,577 244,732 122,366 61,183 183,550 91,775 275,326 137,663 412,990 206,495 619,486 309,743 929,230 464,615 1,393,846 696,923 2,090,770 1,045,385 3,136,156 1,568,078 784,039 2,352,118 1,176,059 3,528,178 1,764,089 5,292,268 2,646,134 1,323,067 3,969,202 1,984,601 5,953,804 2,976,902 1,488,451 4,465,354 2,232,677 6,698,032 3,349,016

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