λ
Sequence Observatory

8,273,327

8273327
Deficient Odd Prime

Starting at 8,273,327, the Collatz iteration reaches 1 after 212 steps. The first transition is 24819982; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8273327
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,273,328
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8273299 ← → #8273333

Radix Representation

Decimal 8273327
Binary 11111100011110110101111 (23 bits)
Octal 0o37436657
Hexadecimal 0x7E3DAF

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

8,273,327 24,819,982 12,409,991 37,229,974 18,614,987 55,844,962 27,922,481 83,767,444 41,883,722 20,941,861 62,825,584 31,412,792 15,706,396 7,853,198 3,926,599 11,779,798 5,889,899 17,669,698 8,834,849 26,504,548 13,252,274 6,626,137 19,878,412 9,939,206 4,969,603 14,908,810 7,454,405 22,363,216 11,181,608 5,590,804 2,795,402 1,397,701 4,193,104 2,096,552 1,048,276 524,138 262,069 786,208 393,104 196,552 98,276 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478

More profiles

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