1,765,926

2 × 3² × 17 × 29 × 199

Starting at 1,765,926, the Collatz iteration reaches 1 after 127 steps. The first transition is 882963; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 29 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,212,000

Proper Divisor Sum 2,446,074

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1765913 ← → #1765949

Radix Representation

Decimal	1765926
Binary	110101111001000100110 (21 bits)
Octal	0o6571046
Hexadecimal	0x1AF226

Divisor Catalog (48)

1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 199 261 306 398 493 522 597 986 1,194 1,479 1,791 2,958 3,383 3,582 4,437 5,771 6,766 8,874 10,149 11,542 17,313 20,298 30,447 34,626 51,939 60,894 98,107 103,878 196,214 294,321 588,642 882,963 1,765,926

Collatz Trajectory (127 steps to reach 1)

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

1,765,926 882,963 2,648,890 1,324,445 3,973,336 1,986,668 993,334 496,667 1,490,002 745,001 2,235,004 1,117,502 558,751 1,676,254 838,127 2,514,382 1,257,191 3,771,574 1,885,787 5,657,362 2,828,681 8,486,044 4,243,022 2,121,511 6,364,534 3,182,267 9,546,802 4,773,401 14,320,204 7,160,102 3,580,051 10,740,154 5,370,077 16,110,232 8,055,116 4,027,558 2,013,779 6,041,338 3,020,669 9,062,008 4,531,004 2,265,502 1,132,751 3,398,254 1,699,127 5,097,382 2,548,691 7,646,074 3,823,037 11,469,112 5,734,556 2,867,278 1,433,639 4,300,918 2,150,459 6,451,378 3,225,689 9,677,068 4,838,534 2,419,267

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