λ
Sequence Observatory

6,865,007

6865007
Deficient Odd Prime

Starting at 6,865,007, the Collatz iteration reaches 1 after 191 steps. The first transition is 20595022; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6865007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,865,008
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6864997 ← → #6865009

Radix Representation

Decimal 6865007
Binary 11010001100000001101111 (23 bits)
Octal 0o32140157
Hexadecimal 0x68C06F

Divisor Catalog (2)

Collatz Trajectory (191 steps to reach 1)

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

6,865,007 20,595,022 10,297,511 30,892,534 15,446,267 46,338,802 23,169,401 69,508,204 34,754,102 17,377,051 52,131,154 26,065,577 78,196,732 39,098,366 19,549,183 58,647,550 29,323,775 87,971,326 43,985,663 131,956,990 65,978,495 197,935,486 98,967,743 296,903,230 148,451,615 445,354,846 222,677,423 668,032,270 334,016,135 1,002,048,406 501,024,203 1,503,072,610 751,536,305 2,254,608,916 1,127,304,458 563,652,229 1,690,956,688 845,478,344 422,739,172 211,369,586 105,684,793 317,054,380 158,527,190 79,263,595 237,790,786 118,895,393 356,686,180 178,343,090 89,171,545 267,514,636 133,757,318 66,878,659 200,635,978 100,317,989 300,953,968 150,476,984 75,238,492 37,619,246 18,809,623 56,428,870

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