6,755,086

2 × 13 × 17² × 29 × 31

Starting at 6,755,086, the Collatz iteration reaches 1 after 147 steps. The first transition is 3377543; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17^2 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,378,240

Proper Divisor Sum 5,623,154

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6755083 ← → #6755093

Radix Representation

Decimal	6755086
Binary	11001110001001100001110 (23 bits)
Octal	0o31611416
Hexadecimal	0x67130E

Divisor Catalog (48)

1 2 13 17 26 29 31 34 58 62 221 289 377 403 442 493 527 578 754 806 899 986 1,054 1,798 3,757 6,409 6,851 7,514 8,381 8,959 11,687 12,818 13,702 15,283 16,762 17,918 23,374 30,566 108,953 116,467 198,679 217,906 232,934 259,811 397,358 519,622 3,377,543 6,755,086

Collatz Trajectory (147 steps to reach 1)

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

6,755,086 3,377,543 10,132,630 5,066,315 15,198,946 7,599,473 22,798,420 11,399,210 5,699,605 17,098,816 8,549,408 4,274,704 2,137,352 1,068,676 534,338 267,169 801,508 400,754 200,377 601,132 300,566 150,283 450,850 225,425 676,276 338,138 169,069 507,208 253,604 126,802 63,401 190,204 95,102 47,551 142,654 71,327 213,982 106,991 320,974 160,487 481,462 240,731 722,194 361,097 1,083,292 541,646 270,823 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428

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