λ
Sequence Observatory

2,702,857

2702857
Deficient Odd Prime

Starting at 2,702,857, the Collatz iteration reaches 1 after 200 steps. The first transition is 8108572; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2702857
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,702,858
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2702839 ← → #2702879

Radix Representation

Decimal 2702857
Binary 1010010011111000001001 (22 bits)
Octal 0o12237011
Hexadecimal 0x293E09

Divisor Catalog (2)

1 2,702,857

Collatz Trajectory (200 steps to reach 1)

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

2,702,857 8,108,572 4,054,286 2,027,143 6,081,430 3,040,715 9,122,146 4,561,073 13,683,220 6,841,610 3,420,805 10,262,416 5,131,208 2,565,604 1,282,802 641,401 1,924,204 962,102 481,051 1,443,154 721,577 2,164,732 1,082,366 541,183 1,623,550 811,775 2,435,326 1,217,663 3,652,990 1,826,495 5,479,486 2,739,743 8,219,230 4,109,615 12,328,846 6,164,423 18,493,270 9,246,635 27,739,906 13,869,953 41,609,860 20,804,930 10,402,465 31,207,396 15,603,698 7,801,849 23,405,548 11,702,774 5,851,387 17,554,162 8,777,081 26,331,244 13,165,622 6,582,811 19,748,434 9,874,217 29,622,652 14,811,326 7,405,663 22,216,990

More profiles

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