λ
Sequence Observatory

6,240,206

2 × 7 × 233 × 1913
Deficient Even Composite

Starting at 6,240,206, the Collatz iteration reaches 1 after 152 steps. The first transition is 3120103; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 233 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,749,024
Proper Divisor Sum 4,508,818
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6240197 ← → #6240211

Radix Representation

Decimal 6240206
Binary 10111110011011111001110 (23 bits)
Octal 0o27633716
Hexadecimal 0x5F37CE

Divisor Catalog (16)

1 2 7 14 233 466 1,631 1,913 3,262 3,826 13,391 26,782 445,729 891,458 3,120,103 6,240,206

Collatz Trajectory (152 steps to reach 1)

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

6,240,206 3,120,103 9,360,310 4,680,155 14,040,466 7,020,233 21,060,700 10,530,350 5,265,175 15,795,526 7,897,763 23,693,290 11,846,645 35,539,936 17,769,968 8,884,984 4,442,492 2,221,246 1,110,623 3,331,870 1,665,935 4,997,806 2,498,903 7,496,710 3,748,355 11,245,066 5,622,533 16,867,600 8,433,800 4,216,900 2,108,450 1,054,225 3,162,676 1,581,338 790,669 2,372,008 1,186,004 593,002 296,501 889,504 444,752 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100

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