λ
Sequence Observatory

519,083

519083
Deficient Odd Prime

Starting at 519,083, the Collatz iteration reaches 1 after 71 steps. The first transition is 1557250; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 519083
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 519,084
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #519067 ← → #519089

Radix Representation

Decimal 519083
Binary 1111110101110101011 (19 bits)
Octal 0o1765653
Hexadecimal 0x7EBAB

Divisor Catalog (2)

Collatz Trajectory (71 steps to reach 1)

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

519,083 1,557,250 778,625 2,335,876 1,167,938 583,969 1,751,908 875,954 437,977 1,313,932 656,966 328,483 985,450 492,725 1,478,176 739,088 369,544 184,772 92,386 46,193 138,580 69,290 34,645 103,936 51,968 25,984 12,992 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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