λ
Sequence Observatory

8,455,281

3 × 31 × 90917
Deficient Odd Composite

Starting at 8,455,281, the Collatz iteration reaches 1 after 106 steps. The first transition is 25365844; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 90917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,637,504
Proper Divisor Sum 3,182,223
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8455261 ← → #8455297

Radix Representation

Decimal 8455281
Binary 100000010000010001110001 (24 bits)
Octal 0o40202161
Hexadecimal 0x810471

Divisor Catalog (8)

1 3 31 93 90,917 272,751 2,818,427 8,455,281

Collatz Trajectory (106 steps to reach 1)

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

8,455,281 25,365,844 12,682,922 6,341,461 19,024,384 9,512,192 4,756,096 2,378,048 1,189,024 594,512 297,256 148,628 74,314 37,157 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674

More profiles

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