6,443,220

2² × 3 × 5 × 7 × 23² × 29

6,443,220 has the prime decomposition 2^2 × 3 × 5 × 7 × 23^2 × 29. Its 6 distinct prime factors produce 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 23^2 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 22,296,960

Proper Divisor Sum 15,853,740

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6443167 ← → #6443231

Radix Representation

Decimal	6443220
Binary	11000100101000011010100 (23 bits)
Octal	0o30450324
Hexadecimal	0x6250D4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 29 30 35 42 46 58 60 69 70 84 87 92 105 115 116 138 140 145 161 174 203 210 230 276 290 322 345 348 406 420 435 460 483 529 580 609 644 667 690 805 812 870 966 1,015 1,058

Collatz Trajectory (95 steps to reach 1)

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

6,443,220 3,221,610 1,610,805 4,832,416 2,416,208 1,208,104 604,052 302,026 151,013 453,040 226,520 113,260 56,630 28,315 84,946 42,473 127,420 63,710 31,855 95,566 47,783 143,350 71,675 215,026 107,513 322,540 161,270 80,635 241,906 120,953 362,860 181,430 90,715 272,146 136,073 408,220 204,110 102,055 306,166 153,083 459,250 229,625 688,876 344,438 172,219 516,658 258,329 774,988 387,494 193,747 581,242 290,621 871,864 435,932 217,966 108,983 326,950 163,475 490,426 245,213

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