λ
Sigma Notebook

522,861

3 × 19 × 9173
Deficient Odd Composite

522,861 is odd and not a perfect square. Its factorization is 3 × 19 × 9173 and its 8 divisors sum to 733,920.

Prime Factor Structure

Factorization String 3 × 19 × 9173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 733,920
Proper Divisor Sum 211,059
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #522857 ← → #522871

Radix Representation

Decimal 522861
Binary 1111111101001101101 (19 bits)
Octal 0o1775155
Hexadecimal 0x7FA6D

Divisor Catalog (8)

1 3 19 57 9,173 27,519 174,287 522,861

Collatz Trajectory (195 steps to reach 1)

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

522,861 1,568,584 784,292 392,146 196,073 588,220 294,110 147,055 441,166 220,583 661,750 330,875 992,626 496,313 1,488,940 744,470 372,235 1,116,706 558,353 1,675,060 837,530 418,765 1,256,296 628,148 314,074 157,037 471,112 235,556 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553

More profiles

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