λ
Sequence Observatory

8,231,291

8231291
Deficient Odd Prime

Starting at 8,231,291, the Collatz iteration reaches 1 after 137 steps. The first transition is 24693874; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8231291
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,231,292
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8231287 ← → #8231297

Radix Representation

Decimal 8231291
Binary 11111011001100101111011 (23 bits)
Octal 0o37314573
Hexadecimal 0x7D997B

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,231,291 24,693,874 12,346,937 37,040,812 18,520,406 9,260,203 27,780,610 13,890,305 41,670,916 20,835,458 10,417,729 31,253,188 15,626,594 7,813,297 23,439,892 11,719,946 5,859,973 17,579,920 8,789,960 4,394,980 2,197,490 1,098,745 3,296,236 1,648,118 824,059 2,472,178 1,236,089 3,708,268 1,854,134 927,067 2,781,202 1,390,601 4,171,804 2,085,902 1,042,951 3,128,854 1,564,427 4,693,282 2,346,641 7,039,924 3,519,962 1,759,981 5,279,944 2,639,972 1,319,986 659,993 1,979,980 989,990 494,995 1,484,986 742,493 2,227,480 1,113,740 556,870 278,435 835,306 417,653 1,252,960 626,480 313,240

More profiles

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