λ
Sequence Observatory

1,326,930

2 × 3 × 5 × 11 × 4021
Abundant Even Composite

Starting at 1,326,930, the Collatz iteration reaches 1 after 124 steps. The first transition is 663465; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 4021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,475,008
Proper Divisor Sum 2,148,078
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1326929 ← → #1326943

Radix Representation

Decimal 1326930
Binary 101000011111101010010 (21 bits)
Octal 0o5037522
Hexadecimal 0x143F52

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 4,021 8,042 12,063 20,105 24,126 40,210 44,231 60,315 88,462 120,630 132,693 221,155 265,386 442,310 663,465 1,326,930

Collatz Trajectory (124 steps to reach 1)

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

1,326,930 663,465 1,990,396 995,198 497,599 1,492,798 746,399 2,239,198 1,119,599 3,358,798 1,679,399 5,038,198 2,519,099 7,557,298 3,778,649 11,335,948 5,667,974 2,833,987 8,501,962 4,250,981 12,752,944 6,376,472 3,188,236 1,594,118 797,059 2,391,178 1,195,589 3,586,768 1,793,384 896,692 448,346 224,173 672,520 336,260 168,130 84,065 252,196 126,098 63,049 189,148 94,574 47,287 141,862 70,931 212,794 106,397 319,192 159,596 79,798 39,899 119,698 59,849 179,548 89,774 44,887 134,662 67,331 201,994 100,997 302,992

More profiles

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