4,216,221

3² × 17² × 1621

4,216,221 factors as 3^2 × 17^2 × 1621. Its 18 positive divisors give a proper-divisor sum of 2,257,181, so this integer is deficient. The Collatz stopping time is 317 steps.

Prime Factor Structure

Factorization String 3^2 × 17^2 × 1621

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,473,402

Proper Divisor Sum 2,257,181

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4216211 ← → #4216231

Radix Representation

Decimal	4216221
Binary	10000000101010110011101 (23 bits)
Octal	0o20052635
Hexadecimal	0x40559D

Divisor Catalog (18)

1 3 9 17 51 153 289 867 1,621 2,601 4,863 14,589 27,557 82,671 248,013 468,469 1,405,407 4,216,221

Collatz Trajectory (317 steps to reach 1)

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

4,216,221 12,648,664 6,324,332 3,162,166 1,581,083 4,743,250 2,371,625 7,114,876 3,557,438 1,778,719 5,336,158 2,668,079 8,004,238 4,002,119 12,006,358 6,003,179 18,009,538 9,004,769 27,014,308 13,507,154 6,753,577 20,260,732 10,130,366 5,065,183 15,195,550 7,597,775 22,793,326 11,396,663 34,189,990 17,094,995 51,284,986 25,642,493 76,927,480 38,463,740 19,231,870 9,615,935 28,847,806 14,423,903 43,271,710 21,635,855 64,907,566 32,453,783 97,361,350 48,680,675 146,042,026 73,021,013 219,063,040 109,531,520 54,765,760 27,382,880 13,691,440 6,845,720 3,422,860 1,711,430 855,715 2,567,146 1,283,573 3,850,720 1,925,360 962,680

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