λ
Sequence Observatory

2,693,214

2 × 32 × 149623
Abundant Even Composite

Starting at 2,693,214, the Collatz iteration reaches 1 after 94 steps. The first transition is 1346607; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 149623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,835,336
Proper Divisor Sum 3,142,122
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2693213 ← → #2693227

Radix Representation

Decimal 2693214
Binary 1010010001100001011110 (22 bits)
Octal 0o12214136
Hexadecimal 0x29185E

Divisor Catalog (12)

1 2 3 6 9 18 149,623 299,246 448,869 897,738 1,346,607 2,693,214

Collatz Trajectory (94 steps to reach 1)

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

2,693,214 1,346,607 4,039,822 2,019,911 6,059,734 3,029,867 9,089,602 4,544,801 13,634,404 6,817,202 3,408,601 10,225,804 5,112,902 2,556,451 7,669,354 3,834,677 11,504,032 5,752,016 2,876,008 1,438,004 719,002 359,501 1,078,504 539,252 269,626 134,813 404,440 202,220 101,110 50,555 151,666 75,833 227,500 113,750 56,875 170,626 85,313 255,940 127,970 63,985 191,956 95,978 47,989 143,968 71,984 35,992 17,996 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848

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