444,720

2⁴ × 3 × 5 × 17 × 109

444,720 has the prime decomposition 2^4 × 3 × 5 × 17 × 109. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,473,120

Proper Divisor Sum 1,028,400

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #444713 ← → #444739

Radix Representation

Decimal	444720
Binary	1101100100100110000 (19 bits)
Octal	0o1544460
Hexadecimal	0x6C930

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 109 120 136 170 204 218 240 255 272 327 340 408 436 510 545 654 680 816 872 1,020 1,090 1,308 1,360 1,635 1,744 1,853 2,040 2,180 2,616 3,270 3,706 4,080 4,360 5,232 5,559 6,540

Collatz Trajectory (143 steps to reach 1)

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

444,720 222,360 111,180 55,590 27,795 83,386 41,693 125,080 62,540 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

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