λ
Sequence Observatory

286,199

286199
Deficient Odd Prime

Starting at 286,199, the Collatz iteration reaches 1 after 127 steps. The first transition is 858598; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 286199
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 286,200
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #286171 ← → #286243

Radix Representation

Decimal 286199
Binary 1000101110111110111 (19 bits)
Octal 0o1056767
Hexadecimal 0x45DF7

Divisor Catalog (2)

Collatz Trajectory (127 steps to reach 1)

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

286,199 858,598 429,299 1,287,898 643,949 1,931,848 965,924 482,962 241,481 724,444 362,222 181,111 543,334 271,667 815,002 407,501 1,222,504 611,252 305,626 152,813 458,440 229,220 114,610 57,305 171,916 85,958 42,979 128,938 64,469 193,408 96,704 48,352 24,176 12,088 6,044 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906

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