3,403,844

2² × 73 × 11657

Starting at 3,403,844, the Collatz iteration reaches 1 after 115 steps. The first transition is 1701922; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 73 × 11657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,038,844

Proper Divisor Sum 2,635,000

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3403843 ← → #3403849

Radix Representation

Decimal	3403844
Binary	1100111111000001000100 (22 bits)
Octal	0o14770104
Hexadecimal	0x33F044

Divisor Catalog (12)

1 2 4 73 146 292 11,657 23,314 46,628 850,961 1,701,922 3,403,844

Collatz Trajectory (115 steps to reach 1)

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

3,403,844 1,701,922 850,961 2,552,884 1,276,442 638,221 1,914,664 957,332 478,666 239,333 718,000 359,000 179,500 89,750 44,875 134,626 67,313 201,940 100,970 50,485 151,456 75,728 37,864 18,932 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604

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