λ
Sigma Notebook

1,022,706

2 × 34 × 59 × 107
Abundant Even Composite

1,022,706 is even and not a perfect square. Its factorization is 2 × 3^4 × 59 × 107 and its 40 divisors sum to 2,352,240.

Prime Factor Structure

Factorization String 2 × 3^4 × 59 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,352,240
Proper Divisor Sum 1,329,534
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1022701 ← → #1022719

Radix Representation

Decimal 1022706
Binary 11111001101011110010 (20 bits)
Octal 0o3715362
Hexadecimal 0xF9AF2

Divisor Catalog (40)

1 2 3 6 9 18 27 54 59 81 107 118 162 177 214 321 354 531 642 963 1,062 1,593 1,926 2,889 3,186 4,779 5,778 6,313 8,667 9,558 12,626 17,334 18,939 37,878 56,817 113,634 170,451 340,902 511,353 1,022,706

Collatz Trajectory (108 steps to reach 1)

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

1,022,706 511,353 1,534,060 767,030 383,515 1,150,546 575,273 1,725,820 862,910 431,455 1,294,366 647,183 1,941,550 970,775 2,912,326 1,456,163 4,368,490 2,184,245 6,552,736 3,276,368 1,638,184 819,092 409,546 204,773 614,320 307,160 153,580 76,790 38,395 115,186 57,593 172,780 86,390 43,195 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487

More profiles

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