λ
Sigma Notebook

7,897,006

2 × 13 × 303731
Deficient Even Composite

7,897,006 is even and not a perfect square. Its factorization is 2 × 13 × 303731 and its 8 divisors sum to 12,756,744.

Prime Factor Structure

Factorization String 2 × 13 × 303731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,756,744
Proper Divisor Sum 4,859,738
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7897003 ← → #7897013

Radix Representation

Decimal 7897006
Binary 11110000111111110101110 (23 bits)
Octal 0o36077656
Hexadecimal 0x787FAE

Divisor Catalog (8)

1 2 13 26 303,731 607,462 3,948,503 7,897,006

Collatz Trajectory (199 steps to reach 1)

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

7,897,006 3,948,503 11,845,510 5,922,755 17,768,266 8,884,133 26,652,400 13,326,200 6,663,100 3,331,550 1,665,775 4,997,326 2,498,663 7,495,990 3,747,995 11,243,986 5,621,993 16,865,980 8,432,990 4,216,495 12,649,486 6,324,743 18,974,230 9,487,115 28,461,346 14,230,673 42,692,020 21,346,010 10,673,005 32,019,016 16,009,508 8,004,754 4,002,377 12,007,132 6,003,566 3,001,783 9,005,350 4,502,675 13,508,026 6,754,013 20,262,040 10,131,020 5,065,510 2,532,755 7,598,266 3,799,133 11,397,400 5,698,700 2,849,350 1,424,675 4,274,026 2,137,013 6,411,040 3,205,520 1,602,760 801,380 400,690 200,345 601,036 300,518

More profiles

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