λ
Sequence Observatory

608,191

608191
Deficient Odd Prime

Starting at 608,191, the Collatz iteration reaches 1 after 195 steps. The first transition is 1824574; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 608191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 608,192
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #608177 ← → #608207

Radix Representation

Decimal 608191
Binary 10010100011110111111 (20 bits)
Octal 0o2243677
Hexadecimal 0x947BF

Divisor Catalog (2)

Collatz Trajectory (195 steps to reach 1)

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

608,191 1,824,574 912,287 2,736,862 1,368,431 4,105,294 2,052,647 6,157,942 3,078,971 9,236,914 4,618,457 13,855,372 6,927,686 3,463,843 10,391,530 5,195,765 15,587,296 7,793,648 3,896,824 1,948,412 974,206 487,103 1,461,310 730,655 2,191,966 1,095,983 3,287,950 1,643,975 4,931,926 2,465,963 7,397,890 3,698,945 11,096,836 5,548,418 2,774,209 8,322,628 4,161,314 2,080,657 6,241,972 3,120,986 1,560,493 4,681,480 2,340,740 1,170,370 585,185 1,755,556 877,778 438,889 1,316,668 658,334 329,167 987,502 493,751 1,481,254 740,627 2,221,882 1,110,941 3,332,824 1,666,412 833,206

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