λ
Sequence Observatory

6,789,009

3 × 47 × 89 × 541
Deficient Odd Composite

Starting at 6,789,009, the Collatz iteration reaches 1 after 108 steps. The first transition is 20367028; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 89 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,365,760
Proper Divisor Sum 2,576,751
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6788989 ← → #6789017

Radix Representation

Decimal 6789009
Binary 11001111001011110010001 (23 bits)
Octal 0o31713621
Hexadecimal 0x679791

Divisor Catalog (16)

1 3 47 89 141 267 541 1,623 4,183 12,549 25,427 48,149 76,281 144,447 2,263,003 6,789,009

Collatz Trajectory (108 steps to reach 1)

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

6,789,009 20,367,028 10,183,514 5,091,757 15,275,272 7,637,636 3,818,818 1,909,409 5,728,228 2,864,114 1,432,057 4,296,172 2,148,086 1,074,043 3,222,130 1,611,065 4,833,196 2,416,598 1,208,299 3,624,898 1,812,449 5,437,348 2,718,674 1,359,337 4,078,012 2,039,006 1,019,503 3,058,510 1,529,255 4,587,766 2,293,883 6,881,650 3,440,825 10,322,476 5,161,238 2,580,619 7,741,858 3,870,929 11,612,788 5,806,394 2,903,197 8,709,592 4,354,796 2,177,398 1,088,699 3,266,098 1,633,049 4,899,148 2,449,574 1,224,787 3,674,362 1,837,181 5,511,544 2,755,772 1,377,886 688,943 2,066,830 1,033,415 3,100,246 1,550,123

More profiles

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