λ
Sequence Observatory

2,786,744

23 × 43 × 8101
Deficient Even Composite

Starting at 2,786,744, the Collatz iteration reaches 1 after 161 steps. The first transition is 1393372; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 43 × 8101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,347,320
Proper Divisor Sum 2,560,576
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2786743 ← → #2786753

Radix Representation

Decimal 2786744
Binary 1010101000010110111000 (22 bits)
Octal 0o12502670
Hexadecimal 0x2A85B8

Divisor Catalog (16)

1 2 4 8 43 86 172 344 8,101 16,202 32,404 64,808 348,343 696,686 1,393,372 2,786,744

Collatz Trajectory (161 steps to reach 1)

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

2,786,744 1,393,372 696,686 348,343 1,045,030 522,515 1,567,546 783,773 2,351,320 1,175,660 587,830 293,915 881,746 440,873 1,322,620 661,310 330,655 991,966 495,983 1,487,950 743,975 2,231,926 1,115,963 3,347,890 1,673,945 5,021,836 2,510,918 1,255,459 3,766,378 1,883,189 5,649,568 2,824,784 1,412,392 706,196 353,098 176,549 529,648 264,824 132,412 66,206 33,103 99,310 49,655 148,966 74,483 223,450 111,725 335,176 167,588 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055

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