λ
Sigma Notebook

6,906,123

32 × 7 × 109621
Deficient Odd Composite

6,906,123 is odd and not a perfect square. Its factorization is 3^2 × 7 × 109621 and its 12 divisors sum to 11,400,688.

Prime Factor Structure

Factorization String 3^2 × 7 × 109621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,400,688
Proper Divisor Sum 4,494,565
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6906103 ← → #6906143

Radix Representation

Decimal 6906123
Binary 11010010110000100001011 (23 bits)
Octal 0o32260413
Hexadecimal 0x69610B

Divisor Catalog (12)

1 3 7 9 21 63 109,621 328,863 767,347 986,589 2,302,041 6,906,123

Collatz Trajectory (191 steps to reach 1)

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

6,906,123 20,718,370 10,359,185 31,077,556 15,538,778 7,769,389 23,308,168 11,654,084 5,827,042 2,913,521 8,740,564 4,370,282 2,185,141 6,555,424 3,277,712 1,638,856 819,428 409,714 204,857 614,572 307,286 153,643 460,930 230,465 691,396 345,698 172,849 518,548 259,274 129,637 388,912 194,456 97,228 48,614 24,307 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217

More profiles

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