λ
Sequence Observatory

4,712,082

2 × 3 × 785347
Abundant Even Composite

Starting at 4,712,082, the Collatz iteration reaches 1 after 175 steps. The first transition is 2356041; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 785347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,424,176
Proper Divisor Sum 4,712,094
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4712063 ← → #4712083

Radix Representation

Decimal 4712082
Binary 10001111110011010010010 (23 bits)
Octal 0o21763222
Hexadecimal 0x47E692

Divisor Catalog (8)

1 2 3 6 785,347 1,570,694 2,356,041 4,712,082

Collatz Trajectory (175 steps to reach 1)

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

4,712,082 2,356,041 7,068,124 3,534,062 1,767,031 5,301,094 2,650,547 7,951,642 3,975,821 11,927,464 5,963,732 2,981,866 1,490,933 4,472,800 2,236,400 1,118,200 559,100 279,550 139,775 419,326 209,663 628,990 314,495 943,486 471,743 1,415,230 707,615 2,122,846 1,061,423 3,184,270 1,592,135 4,776,406 2,388,203 7,164,610 3,582,305 10,746,916 5,373,458 2,686,729 8,060,188 4,030,094 2,015,047 6,045,142 3,022,571 9,067,714 4,533,857 13,601,572 6,800,786 3,400,393 10,201,180 5,100,590 2,550,295 7,650,886 3,825,443 11,476,330 5,738,165 17,214,496 8,607,248 4,303,624 2,151,812 1,075,906

More profiles

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