λ
Sigma Notebook

9,298,017

33 × 344371
Deficient Odd Composite

9,298,017 is odd and not a perfect square. Its factorization is 3^3 × 344371 and its 8 divisors sum to 13,774,880.

Prime Factor Structure

Factorization String 3^3 × 344371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,774,880
Proper Divisor Sum 4,476,863
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9297983 ← → #9298039

Radix Representation

Decimal 9298017
Binary 100011011110000001100001 (24 bits)
Octal 0o43360141
Hexadecimal 0x8DE061

Divisor Catalog (8)

1 3 9 27 344,371 1,033,113 3,099,339 9,298,017

Collatz Trajectory (106 steps to reach 1)

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

9,298,017 27,894,052 13,947,026 6,973,513 20,920,540 10,460,270 5,230,135 15,690,406 7,845,203 23,535,610 11,767,805 35,303,416 17,651,708 8,825,854 4,412,927 13,238,782 6,619,391 19,858,174 9,929,087 29,787,262 14,893,631 44,680,894 22,340,447 67,021,342 33,510,671 100,532,014 50,266,007 150,798,022 75,399,011 226,197,034 113,098,517 339,295,552 169,647,776 84,823,888 42,411,944 21,205,972 10,602,986 5,301,493 15,904,480 7,952,240 3,976,120 1,988,060 994,030 497,015 1,491,046 745,523 2,236,570 1,118,285 3,354,856 1,677,428 838,714 419,357 1,258,072 629,036 314,518 157,259 471,778 235,889 707,668 353,834

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