λ
Sequence Observatory

6,208,851

3 × 11 × 188147
Deficient Odd Composite

Starting at 6,208,851, the Collatz iteration reaches 1 after 165 steps. The first transition is 18626554; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 188147
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,031,104
Proper Divisor Sum 2,822,253
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6208831 ← → #6208861

Radix Representation

Decimal 6208851
Binary 10111101011110101010011 (23 bits)
Octal 0o27536523
Hexadecimal 0x5EBD53

Divisor Catalog (8)

1 3 11 33 188,147 564,441 2,069,617 6,208,851

Collatz Trajectory (165 steps to reach 1)

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

6,208,851 18,626,554 9,313,277 27,939,832 13,969,916 6,984,958 3,492,479 10,477,438 5,238,719 15,716,158 7,858,079 23,574,238 11,787,119 35,361,358 17,680,679 53,042,038 26,521,019 79,563,058 39,781,529 119,344,588 59,672,294 29,836,147 89,508,442 44,754,221 134,262,664 67,131,332 33,565,666 16,782,833 50,348,500 25,174,250 12,587,125 37,761,376 18,880,688 9,440,344 4,720,172 2,360,086 1,180,043 3,540,130 1,770,065 5,310,196 2,655,098 1,327,549 3,982,648 1,991,324 995,662 497,831 1,493,494 746,747 2,240,242 1,120,121 3,360,364 1,680,182 840,091 2,520,274 1,260,137 3,780,412 1,890,206 945,103 2,835,310 1,417,655

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