λ
Sequence Observatory

8,810,721

33 × 326323
Deficient Odd Composite

Starting at 8,810,721, the Collatz iteration reaches 1 after 150 steps. The first transition is 26432164; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 326323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,052,960
Proper Divisor Sum 4,242,239
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8810713 ← → #8810729

Radix Representation

Decimal 8810721
Binary 100001100111000011100001 (24 bits)
Octal 0o41470341
Hexadecimal 0x8670E1

Divisor Catalog (8)

1 3 9 27 326,323 978,969 2,936,907 8,810,721

Collatz Trajectory (150 steps to reach 1)

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

8,810,721 26,432,164 13,216,082 6,608,041 19,824,124 9,912,062 4,956,031 14,868,094 7,434,047 22,302,142 11,151,071 33,453,214 16,726,607 50,179,822 25,089,911 75,269,734 37,634,867 112,904,602 56,452,301 169,356,904 84,678,452 42,339,226 21,169,613 63,508,840 31,754,420 15,877,210 7,938,605 23,815,816 11,907,908 5,953,954 2,976,977 8,930,932 4,465,466 2,232,733 6,698,200 3,349,100 1,674,550 837,275 2,511,826 1,255,913 3,767,740 1,883,870 941,935 2,825,806 1,412,903 4,238,710 2,119,355 6,358,066 3,179,033 9,537,100 4,768,550 2,384,275 7,152,826 3,576,413 10,729,240 5,364,620 2,682,310 1,341,155 4,023,466 2,011,733

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