λ
Sigma Notebook

222,544

24 × 7 × 1987
Abundant Even Composite

222,544 is even and not a perfect square. Its factorization is 2^4 × 7 × 1987 and its 20 divisors sum to 493,024.

Prime Factor Structure

Factorization String 2^4 × 7 × 1987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 493,024
Proper Divisor Sum 270,480
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #222533 ← → #222553

Radix Representation

Decimal 222544
Binary 110110010101010000 (18 bits)
Octal 0o662520
Hexadecimal 0x36550

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 1,987 3,974 7,948 13,909 15,896 27,818 31,792 55,636 111,272 222,544

Collatz Trajectory (36 steps to reach 1)

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

222,544 111,272 55,636 27,818 13,909 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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