λ
Sigma Notebook

2,107,206

2 × 32 × 167 × 701
Abundant Even Composite

2,107,206 is even and not a perfect square. Its factorization is 2 × 3^2 × 167 × 701 and its 24 divisors sum to 4,599,504.

Prime Factor Structure

Factorization String 2 × 3^2 × 167 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,599,504
Proper Divisor Sum 2,492,298
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2107199 ← → #2107207

Radix Representation

Decimal 2107206
Binary 1000000010011101000110 (22 bits)
Octal 0o10023506
Hexadecimal 0x202746

Divisor Catalog (24)

1 2 3 6 9 18 167 334 501 701 1,002 1,402 1,503 2,103 3,006 4,206 6,309 12,618 117,067 234,134 351,201 702,402 1,053,603 2,107,206

Collatz Trajectory (153 steps to reach 1)

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

2,107,206 1,053,603 3,160,810 1,580,405 4,741,216 2,370,608 1,185,304 592,652 296,326 148,163 444,490 222,245 666,736 333,368 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321 210,964 105,482 52,741 158,224 79,112 39,556 19,778 9,889 29,668 14,834 7,417 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230

More profiles

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