λ
Sequence Observatory

6,611,484

22 × 3 × 11 × 50087
Abundant Even Composite

Starting at 6,611,484, the Collatz iteration reaches 1 after 116 steps. The first transition is 3305742; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 50087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,829,568
Proper Divisor Sum 10,218,084
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6611461 ← → #6611489

Radix Representation

Decimal 6611484
Binary 11001001110001000011100 (23 bits)
Octal 0o31161034
Hexadecimal 0x64E21C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 50,087 100,174 150,261 200,348 300,522 550,957 601,044 1,101,914 1,652,871 2,203,828 3,305,742 6,611,484

Collatz Trajectory (116 steps to reach 1)

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

6,611,484 3,305,742 1,652,871 4,958,614 2,479,307 7,437,922 3,718,961 11,156,884 5,578,442 2,789,221 8,367,664 4,183,832 2,091,916 1,045,958 522,979 1,568,938 784,469 2,353,408 1,176,704 588,352 294,176 147,088 73,544 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944

More profiles

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