λ
Sigma Notebook

7,797,243

3 × 443 × 5867
Deficient Odd Composite

7,797,243 is odd and not a perfect square. Its factorization is 3 × 443 × 5867 and its 8 divisors sum to 10,421,568.

Prime Factor Structure

Factorization String 3 × 443 × 5867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,421,568
Proper Divisor Sum 2,624,325
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7797241 ← → #7797247

Radix Representation

Decimal 7797243
Binary 11101101111100111111011 (23 bits)
Octal 0o35574773
Hexadecimal 0x76F9FB

Divisor Catalog (8)

1 3 443 1,329 5,867 17,601 2,599,081 7,797,243

Collatz Trajectory (124 steps to reach 1)

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

7,797,243 23,391,730 11,695,865 35,087,596 17,543,798 8,771,899 26,315,698 13,157,849 39,473,548 19,736,774 9,868,387 29,605,162 14,802,581 44,407,744 22,203,872 11,101,936 5,550,968 2,775,484 1,387,742 693,871 2,081,614 1,040,807 3,122,422 1,561,211 4,683,634 2,341,817 7,025,452 3,512,726 1,756,363 5,269,090 2,634,545 7,903,636 3,951,818 1,975,909 5,927,728 2,963,864 1,481,932 740,966 370,483 1,111,450 555,725 1,667,176 833,588 416,794 208,397 625,192 312,596 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243

More profiles

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