λ
Sequence Observatory

4,241,550

2 × 3 × 52 × 28277
Abundant Even Composite

Starting at 4,241,550, the Collatz iteration reaches 1 after 198 steps. The first transition is 2120775; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 28277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,519,416
Proper Divisor Sum 6,277,866
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4241539 ← → #4241581

Radix Representation

Decimal 4241550
Binary 10000001011100010001110 (23 bits)
Octal 0o20134216
Hexadecimal 0x40B88E

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 28,277 56,554 84,831 141,385 169,662 282,770 424,155 706,925 848,310 1,413,850 2,120,775 4,241,550

Collatz Trajectory (198 steps to reach 1)

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

4,241,550 2,120,775 6,362,326 3,181,163 9,543,490 4,771,745 14,315,236 7,157,618 3,578,809 10,736,428 5,368,214 2,684,107 8,052,322 4,026,161 12,078,484 6,039,242 3,019,621 9,058,864 4,529,432 2,264,716 1,132,358 566,179 1,698,538 849,269 2,547,808 1,273,904 636,952 318,476 159,238 79,619 238,858 119,429 358,288 179,144 89,572 44,786 22,393 67,180 33,590 16,795 50,386 25,193 75,580 37,790 18,895 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905

More profiles

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