2,789,286

2 × 3 × 61 × 7621

Starting at 2,789,286, the Collatz iteration reaches 1 after 138 steps. The first transition is 1394643; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 7621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,670,768

Proper Divisor Sum 2,881,482

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2789273 ← → #2789299

Radix Representation

Decimal	2789286
Binary	1010101000111110100110 (22 bits)
Octal	0o12507646
Hexadecimal	0x2A8FA6

Divisor Catalog (16)

1 2 3 6 61 122 183 366 7,621 15,242 22,863 45,726 464,881 929,762 1,394,643 2,789,286

Collatz Trajectory (138 steps to reach 1)

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

2,789,286 1,394,643 4,183,930 2,091,965 6,275,896 3,137,948 1,568,974 784,487 2,353,462 1,176,731 3,530,194 1,765,097 5,295,292 2,647,646 1,323,823 3,971,470 1,985,735 5,957,206 2,978,603 8,935,810 4,467,905 13,403,716 6,701,858 3,350,929 10,052,788 5,026,394 2,513,197 7,539,592 3,769,796 1,884,898 942,449 2,827,348 1,413,674 706,837 2,120,512 1,060,256 530,128 265,064 132,532 66,266 33,133 99,400 49,700 24,850 12,425 37,276 18,638 9,319 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162

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