λ
Sigma Notebook

218,531

218531
Deficient Odd Prime

218,531 is odd and not a perfect square. Its factorization is 218531 and its 2 divisors sum to 218,532.

Prime Factor Structure

Factorization String 218531
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 218,532
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #218527 ← → #218549

Radix Representation

Decimal 218531
Binary 110101010110100011 (18 bits)
Octal 0o652643
Hexadecimal 0x355A3

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

218,531 655,594 327,797 983,392 491,696 245,848 122,924 61,462 30,731 92,194 46,097 138,292 69,146 34,573 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390

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