λ
Sequence Observatory

7,110,053

7110053
Deficient Odd Prime

Starting at 7,110,053, the Collatz iteration reaches 1 after 266 steps. The first transition is 21330160; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7110053
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,110,054
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7110049 ← → #7110083

Radix Representation

Decimal 7110053
Binary 11011000111110110100101 (23 bits)
Octal 0o33076645
Hexadecimal 0x6C7DA5

Divisor Catalog (2)

Collatz Trajectory (266 steps to reach 1)

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

7,110,053 21,330,160 10,665,080 5,332,540 2,666,270 1,333,135 3,999,406 1,999,703 5,999,110 2,999,555 8,998,666 4,499,333 13,498,000 6,749,000 3,374,500 1,687,250 843,625 2,530,876 1,265,438 632,719 1,898,158 949,079 2,847,238 1,423,619 4,270,858 2,135,429 6,406,288 3,203,144 1,601,572 800,786 400,393 1,201,180 600,590 300,295 900,886 450,443 1,351,330 675,665 2,026,996 1,013,498 506,749 1,520,248 760,124 380,062 190,031 570,094 285,047 855,142 427,571 1,282,714 641,357 1,924,072 962,036 481,018 240,509 721,528 360,764 180,382 90,191 270,574

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