2,755,935

3² × 5 × 7 × 13 × 673

Starting at 2,755,935, the Collatz iteration reaches 1 after 112 steps. The first transition is 8267806; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 673

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,888,064

Proper Divisor Sum 3,132,129

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2755891 ← → #2755943

Radix Representation

Decimal	2755935
Binary	1010100000110101011111 (22 bits)
Octal	0o12406537
Hexadecimal	0x2A0D5F

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 673 819 1,365 2,019 3,365 4,095 4,711 6,057 8,749 10,095 14,133 23,555 26,247 30,285 42,399 43,745 61,243 70,665 78,741 131,235 183,729 211,995 306,215 393,705 551,187 918,645 2,755,935

Collatz Trajectory (112 steps to reach 1)

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

2,755,935 8,267,806 4,133,903 12,401,710 6,200,855 18,602,566 9,301,283 27,903,850 13,951,925 41,855,776 20,927,888 10,463,944 5,231,972 2,615,986 1,307,993 3,923,980 1,961,990 980,995 2,942,986 1,471,493 4,414,480 2,207,240 1,103,620 551,810 275,905 827,716 413,858 206,929 620,788 310,394 155,197 465,592 232,796 116,398 58,199 174,598 87,299 261,898 130,949 392,848 196,424 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885

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