λ
Sigma Notebook

6,743,517

3 × 11 × 181 × 1129
Deficient Odd Composite

6,743,517 is odd and not a perfect square. Its factorization is 3 × 11 × 181 × 1129 and its 16 divisors sum to 9,871,680.

Prime Factor Structure

Factorization String 3 × 11 × 181 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,871,680
Proper Divisor Sum 3,128,163
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6743491 ← → #6743533

Radix Representation

Decimal 6743517
Binary 11001101110010111011101 (23 bits)
Octal 0o31562735
Hexadecimal 0x66E5DD

Divisor Catalog (16)

1 3 11 33 181 543 1,129 1,991 3,387 5,973 12,419 37,257 204,349 613,047 2,247,839 6,743,517

Collatz Trajectory (108 steps to reach 1)

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

6,743,517 20,230,552 10,115,276 5,057,638 2,528,819 7,586,458 3,793,229 11,379,688 5,689,844 2,844,922 1,422,461 4,267,384 2,133,692 1,066,846 533,423 1,600,270 800,135 2,400,406 1,200,203 3,600,610 1,800,305 5,400,916 2,700,458 1,350,229 4,050,688 2,025,344 1,012,672 506,336 253,168 126,584 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130

More profiles

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