λ
Sequence Observatory

1,889,928

23 × 32 × 26249
Abundant Even Composite

Starting at 1,889,928, the Collatz iteration reaches 1 after 78 steps. The first transition is 944964; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 26249
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,118,750
Proper Divisor Sum 3,228,822
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1889831 ← → #1889957

Radix Representation

Decimal 1889928
Binary 111001101011010001000 (21 bits)
Octal 0o7153210
Hexadecimal 0x1CD688

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 26,249 52,498 78,747 104,996 157,494 209,992 236,241 314,988 472,482 629,976 944,964 1,889,928

Collatz Trajectory (78 steps to reach 1)

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

1,889,928 944,964 472,482 236,241 708,724 354,362 177,181 531,544 265,772 132,886 66,443 199,330 99,665 298,996 149,498 74,749 224,248 112,124 56,062 28,031 84,094 42,047 126,142 63,071 189,214 94,607 283,822 141,911 425,734 212,867 638,602 319,301 957,904 478,952 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56

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