2,085,765

3 × 5 × 11 × 12641

Starting at 2,085,765, the Collatz iteration reaches 1 after 210 steps. The first transition is 6257296; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 12641

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,640,896

Proper Divisor Sum 1,555,131

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2085757 ← → #2085779

Radix Representation

Decimal	2085765
Binary	111111101001110000101 (21 bits)
Octal	0o7751605
Hexadecimal	0x1FD385

Divisor Catalog (16)

1 3 5 11 15 33 55 165 12,641 37,923 63,205 139,051 189,615 417,153 695,255 2,085,765

Collatz Trajectory (210 steps to reach 1)

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

2,085,765 6,257,296 3,128,648 1,564,324 782,162 391,081 1,173,244 586,622 293,311 879,934 439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366 6,773,183 20,319,550 10,159,775 30,479,326 15,239,663 45,718,990 22,859,495 68,578,486 34,289,243 102,867,730

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