λ
Sequence Observatory

8,355,286

2 × 109 × 38327
Deficient Even Composite

Starting at 8,355,286, the Collatz iteration reaches 1 after 336 steps. The first transition is 4177643; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 109 × 38327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,648,240
Proper Divisor Sum 4,292,954
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8355271 ← → #8355299

Radix Representation

Decimal 8355286
Binary 11111110111110111010110 (23 bits)
Octal 0o37676726
Hexadecimal 0x7F7DD6

Divisor Catalog (8)

1 2 109 218 38,327 76,654 4,177,643 8,355,286

Collatz Trajectory (336 steps to reach 1)

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

8,355,286 4,177,643 12,532,930 6,266,465 18,799,396 9,399,698 4,699,849 14,099,548 7,049,774 3,524,887 10,574,662 5,287,331 15,861,994 7,930,997 23,792,992 11,896,496 5,948,248 2,974,124 1,487,062 743,531 2,230,594 1,115,297 3,345,892 1,672,946 836,473 2,509,420 1,254,710 627,355 1,882,066 941,033 2,823,100 1,411,550 705,775 2,117,326 1,058,663 3,175,990 1,587,995 4,763,986 2,381,993 7,145,980 3,572,990 1,786,495 5,359,486 2,679,743 8,039,230 4,019,615 12,058,846 6,029,423 18,088,270 9,044,135 27,132,406 13,566,203 40,698,610 20,349,305 61,047,916 30,523,958 15,261,979 45,785,938 22,892,969 68,678,908

More profiles

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