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Atlas › Integer Profiles › Node 6,231,068

6,231,068

22 × 23 × 89 × 761
Deficient Even Composite

6,231,068 factors as 2^2 × 23 × 89 × 761. Its 24 positive divisors give a proper-divisor sum of 5,290,372, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 89 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,521,440
Proper Divisor Sum 5,290,372
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6231053 ← → #6231073

Radix Representation

Decimal 6231068
Binary 10111110001010000011100 (23 bits)
Octal 0o27612034
Hexadecimal 0x5F141C

Divisor Catalog (24)

1 2 4 23 46 89 92 178 356 761 1,522 2,047 3,044 4,094 8,188 17,503 35,006 67,729 70,012 135,458 270,916 1,557,767 3,115,534 6,231,068

Collatz Trajectory (227 steps to reach 1)

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

6,231,068 3,115,534 1,557,767 4,673,302 2,336,651 7,009,954 3,504,977 10,514,932 5,257,466 2,628,733 7,886,200 3,943,100 1,971,550 985,775 2,957,326 1,478,663 4,435,990 2,217,995 6,653,986 3,326,993 9,980,980 4,990,490 2,495,245 7,485,736 3,742,868 1,871,434 935,717 2,807,152 1,403,576 701,788 350,894 175,447 526,342 263,171 789,514 394,757 1,184,272 592,136 296,068 148,034 74,017 222,052 111,026 55,513 166,540 83,270 41,635 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526

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