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The number 62442

62442 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 3469. Divisors (12): 1, 2, 3, 6, 9, 18, 3469, 6938, 10407, 20814, 31221, 62442.

Number

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How to work it out

  1. 1

    What is special about 62442: a Harshad number: divisible by its digit sum 18.

  2. 2

    62442 is composite. Its prime factorisation is

    62442=2×32×346962442 = 2 \times 3^{2} \times 3469
  3. 3

    The divisors add up to 135330; without 62442 itself that is 72888, so 62442 is abundant (72888 is more than 62442). Euler's totient φ(62442) = 20808 numbers up to 62442 share no factor with it.

  4. 4

    The digits of 62442 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62442 = 2 \times 3^{2} \times 3469 \]

62442 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors135330
Euler totient φ(n)20808
Square3899003364
Cube243461568054888
Square root249.883973 (= 3√6938)
Digit sum / digital root18 / 9
Collatz steps to 1179
Scientific notation6.2442 × 10410^{4}

62442 in other forms

FormValue
In wordssixty-two thousand four hundred and forty-two
Binary (base 2)1111001111101010
Octal (base 8)171752
Hexadecimal (base 16)F3EA
Base 310011122200
As time62442 seconds = 17 h 20 min 42 s

Is 62442 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62442 ÷ 2 = 31221)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (62442 ÷ 3 = 20814)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (62442 ÷ 6 = 10407)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (62442 ÷ 9 = 6938)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62442 a prime number?

No. 62442 = 2 × 323^{2} × 3469, so it is divisible by 2.

What are the factors of 62442?

1, 2, 3, 6, 9, 18, 3469, 6938, 10407, 20814, 31221, 62442.

What is 62442 in binary?

1111001111101010 (hexadecimal F3EA, octal 171752).

What is the square root of 62442?

About 249.8840, exactly 3√6938.

Is 62442 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 62442?

62442 is a Harshad number: divisible by its digit sum 18.

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