λ
Sequence Observatory

838,171

838171
Deficient Odd Prime

Starting at 838,171, the Collatz iteration reaches 1 after 82 steps. The first transition is 2514514; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 838171
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 838,172
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #838169 ← → #838193

Radix Representation

Decimal 838171
Binary 11001100101000011011 (20 bits)
Octal 0o3145033
Hexadecimal 0xCCA1B

Divisor Catalog (2)

1 838,171

Collatz Trajectory (82 steps to reach 1)

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

838,171 2,514,514 1,257,257 3,771,772 1,885,886 942,943 2,828,830 1,414,415 4,243,246 2,121,623 6,364,870 3,182,435 9,547,306 4,773,653 14,320,960 7,160,480 3,580,240 1,790,120 895,060 447,530 223,765 671,296 335,648 167,824 83,912 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148

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