2,742,949

11² × 22669

Starting at 2,742,949, the Collatz iteration reaches 1 after 187 steps. The first transition is 8228848; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 22669

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,015,110

Proper Divisor Sum 272,161

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2742937 ← → #2742953

Radix Representation

Decimal	2742949
Binary	1010011101101010100101 (22 bits)
Octal	0o12355245
Hexadecimal	0x29DAA5

Divisor Catalog (6)

1 11 121 22,669 249,359 2,742,949

Collatz Trajectory (187 steps to reach 1)

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

2,742,949 8,228,848 4,114,424 2,057,212 1,028,606 514,303 1,542,910 771,455 2,314,366 1,157,183 3,471,550 1,735,775 5,207,326 2,603,663 7,810,990 3,905,495 11,716,486 5,858,243 17,574,730 8,787,365 26,362,096 13,181,048 6,590,524 3,295,262 1,647,631 4,942,894 2,471,447 7,414,342 3,707,171 11,121,514 5,560,757 16,682,272 8,341,136 4,170,568 2,085,284 1,042,642 521,321 1,563,964 781,982 390,991 1,172,974 586,487 1,759,462 879,731 2,639,194 1,319,597 3,958,792 1,979,396 989,698 494,849 1,484,548 742,274 371,137 1,113,412 556,706 278,353 835,060 417,530 208,765 626,296

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