λ
Sequence Observatory

1,085,159

1085159
Deficient Odd Prime

Starting at 1,085,159, the Collatz iteration reaches 1 after 165 steps. The first transition is 3255478; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1085159
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,085,160
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1085153 ← → #1085179

Radix Representation

Decimal 1085159
Binary 100001000111011100111 (21 bits)
Octal 0o4107347
Hexadecimal 0x108EE7

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

1,085,159 3,255,478 1,627,739 4,883,218 2,441,609 7,324,828 3,662,414 1,831,207 5,493,622 2,746,811 8,240,434 4,120,217 12,360,652 6,180,326 3,090,163 9,270,490 4,635,245 13,905,736 6,952,868 3,476,434 1,738,217 5,214,652 2,607,326 1,303,663 3,910,990 1,955,495 5,866,486 2,933,243 8,799,730 4,399,865 13,199,596 6,599,798 3,299,899 9,899,698 4,949,849 14,849,548 7,424,774 3,712,387 11,137,162 5,568,581 16,705,744 8,352,872 4,176,436 2,088,218 1,044,109 3,132,328 1,566,164 783,082 391,541 1,174,624 587,312 293,656 146,828 73,414 36,707 110,122 55,061 165,184 82,592 41,296

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