λ
Sigma Notebook

6,787,263

3 × 7 × 41 × 7883
Deficient Odd Composite

6,787,263 is odd and not a perfect square. Its factorization is 3 × 7 × 41 × 7883 and its 16 divisors sum to 10,596,096.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 7883
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,596,096
Proper Divisor Sum 3,808,833
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6787213 ← → #6787273

Radix Representation

Decimal 6787263
Binary 11001111001000010111111 (23 bits)
Octal 0o31710277
Hexadecimal 0x6790BF

Divisor Catalog (16)

1 3 7 21 41 123 287 861 7,883 23,649 55,181 165,543 323,203 969,609 2,262,421 6,787,263

Collatz Trajectory (222 steps to reach 1)

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

6,787,263 20,361,790 10,180,895 30,542,686 15,271,343 45,814,030 22,907,015 68,721,046 34,360,523 103,081,570 51,540,785 154,622,356 77,311,178 38,655,589 115,966,768 57,983,384 28,991,692 14,495,846 7,247,923 21,743,770 10,871,885 32,615,656 16,307,828 8,153,914 4,076,957 12,230,872 6,115,436 3,057,718 1,528,859 4,586,578 2,293,289 6,879,868 3,439,934 1,719,967 5,159,902 2,579,951 7,739,854 3,869,927 11,609,782 5,804,891 17,414,674 8,707,337 26,122,012 13,061,006 6,530,503 19,591,510 9,795,755 29,387,266 14,693,633 44,080,900 22,040,450 11,020,225 33,060,676 16,530,338 8,265,169 24,795,508 12,397,754 6,198,877 18,596,632 9,298,316

More profiles

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