λ
Sigma Notebook

7,997,867

7997867
Deficient Odd Prime

7,997,867 is odd and not a perfect square. Its factorization is 7997867 and its 2 divisors sum to 7,997,868.

Prime Factor Structure

Factorization String 7997867
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,997,868
Proper Divisor Sum 1
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #7997839 ← → #7997903

Radix Representation

Decimal 7997867
Binary 11110100000100110101011 (23 bits)
Octal 0o36404653
Hexadecimal 0x7A09AB

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

7,997,867 23,993,602 11,996,801 35,990,404 17,995,202 8,997,601 26,992,804 13,496,402 6,748,201 20,244,604 10,122,302 5,061,151 15,183,454 7,591,727 22,775,182 11,387,591 34,162,774 17,081,387 51,244,162 25,622,081 76,866,244 38,433,122 19,216,561 57,649,684 28,824,842 14,412,421 43,237,264 21,618,632 10,809,316 5,404,658 2,702,329 8,106,988 4,053,494 2,026,747 6,080,242 3,040,121 9,120,364 4,560,182 2,280,091 6,840,274 3,420,137 10,260,412 5,130,206 2,565,103 7,695,310 3,847,655 11,542,966 5,771,483 17,314,450 8,657,225 25,971,676 12,985,838 6,492,919 19,478,758 9,739,379 29,218,138 14,609,069 43,827,208 21,913,604 10,956,802

More profiles

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