3,390,849

3³ × 7² × 11 × 233

3,390,849 is odd and not a perfect square. Its factorization is 3^3 × 7^2 × 11 × 233 and its 48 divisors sum to 6,402,240.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 11 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,402,240

Proper Divisor Sum 3,011,391

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3390847 ← → #3390869

Radix Representation

Decimal	3390849
Binary	1100111011110110000001 (22 bits)
Octal	0o14736601
Hexadecimal	0x33BD81

Divisor Catalog (48)

1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 233 297 441 539 693 699 1,323 1,617 1,631 2,079 2,097 2,563 4,851 4,893 6,291 7,689 11,417 14,553 14,679 17,941 23,067 34,251 44,037 53,823 69,201 102,753 125,587 161,469 308,259 376,761 484,407 1,130,283 3,390,849

Collatz Trajectory (133 steps to reach 1)

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

3,390,849 10,172,548 5,086,274 2,543,137 7,629,412 3,814,706 1,907,353 5,722,060 2,861,030 1,430,515 4,291,546 2,145,773 6,437,320 3,218,660 1,609,330 804,665 2,413,996 1,206,998 603,499 1,810,498 905,249 2,715,748 1,357,874 678,937 2,036,812 1,018,406 509,203 1,527,610 763,805 2,291,416 1,145,708 572,854 286,427 859,282 429,641 1,288,924 644,462 322,231 966,694 483,347 1,450,042 725,021 2,175,064 1,087,532 543,766 271,883 815,650 407,825 1,223,476 611,738 305,869 917,608 458,804 229,402 114,701 344,104 172,052 86,026 43,013 129,040

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