6,440,220

2² × 3² × 5 × 37 × 967

6,440,220 has the prime decomposition 2^2 × 3^2 × 5 × 37 × 967. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 37 × 967

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,084,064

Proper Divisor Sum 13,643,844

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6440201 ← → #6440249

Radix Representation

Decimal	6440220
Binary	11000100100010100011100 (23 bits)
Octal	0o30442434
Hexadecimal	0x62451C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 967 1,110 1,332 1,665 1,934 2,220 2,901 3,330 3,868 4,835 5,802 6,660 8,703 9,670 11,604 14,505 17,406 19,340 29,010 34,812 35,779 43,515 58,020 71,558 87,030 107,337 143,116 174,060 178,895 214,674

Collatz Trajectory (178 steps to reach 1)

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

6,440,220 3,220,110 1,610,055 4,830,166 2,415,083 7,245,250 3,622,625 10,867,876 5,433,938 2,716,969 8,150,908 4,075,454 2,037,727 6,113,182 3,056,591 9,169,774 4,584,887 13,754,662 6,877,331 20,631,994 10,315,997 30,947,992 15,473,996 7,736,998 3,868,499 11,605,498 5,802,749 17,408,248 8,704,124 4,352,062 2,176,031 6,528,094 3,264,047 9,792,142 4,896,071 14,688,214 7,344,107 22,032,322 11,016,161 33,048,484 16,524,242 8,262,121 24,786,364 12,393,182 6,196,591 18,589,774 9,294,887 27,884,662 13,942,331 41,826,994 20,913,497 62,740,492 31,370,246 15,685,123 47,055,370 23,527,685 70,583,056 35,291,528 17,645,764 8,822,882

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