λ
Sequence Observatory

166,255

5 × 41 × 811
Deficient Odd Composite

Starting at 166,255, the Collatz iteration reaches 1 after 90 steps. The first transition is 498766; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 41 × 811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 204,624
Proper Divisor Sum 38,369
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #166247 ← → #166259

Radix Representation

Decimal 166255
Binary 101000100101101111 (18 bits)
Octal 0o504557
Hexadecimal 0x2896F

Divisor Catalog (8)

1 5 41 205 811 4,055 33,251 166,255

Collatz Trajectory (90 steps to reach 1)

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

166,255 498,766 249,383 748,150 374,075 1,122,226 561,113 1,683,340 841,670 420,835 1,262,506 631,253 1,893,760 946,880 473,440 236,720 118,360 59,180 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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