λ
Sigma Notebook

8,810,005

5 × 73 × 24137
Deficient Odd Composite

8,810,005 is odd and not a perfect square. Its factorization is 5 × 73 × 24137 and its 8 divisors sum to 10,717,272.

Prime Factor Structure

Factorization String 5 × 73 × 24137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,717,272
Proper Divisor Sum 1,907,267
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8810003 ← → #8810027

Radix Representation

Decimal 8810005
Binary 100001100110111000010101 (24 bits)
Octal 0o41467025
Hexadecimal 0x866E15

Divisor Catalog (8)

1 5 73 365 24,137 120,685 1,762,001 8,810,005

Collatz Trajectory (243 steps to reach 1)

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

8,810,005 26,430,016 13,215,008 6,607,504 3,303,752 1,651,876 825,938 412,969 1,238,908 619,454 309,727 929,182 464,591 1,393,774 696,887 2,090,662 1,045,331 3,135,994 1,567,997 4,703,992 2,351,996 1,175,998 587,999 1,763,998 881,999 2,645,998 1,322,999 3,968,998 1,984,499 5,953,498 2,976,749 8,930,248 4,465,124 2,232,562 1,116,281 3,348,844 1,674,422 837,211 2,511,634 1,255,817 3,767,452 1,883,726 941,863 2,825,590 1,412,795 4,238,386 2,119,193 6,357,580 3,178,790 1,589,395 4,768,186 2,384,093 7,152,280 3,576,140 1,788,070 894,035 2,682,106 1,341,053 4,023,160 2,011,580

More profiles

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