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The number 3442

3442 is a composite number with 4 divisors. Its prime factorisation is 2 × 1721. Divisors (4): 1, 2, 1721, 3442.

Number

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How to work it out

  1. 1

    What is special about 3442: a semiprime: 2 × 1721, the product of two primes.

  2. 2

    3442 is composite. Its prime factorisation is

    3442=2×17213442 = 2 \times 1721
  3. 3

    The divisors add up to 5166; without 3442 itself that is 1724, so 3442 is deficient (1724 is less than 3442). Euler's totient φ(3442) = 1720 numbers up to 3442 share no factor with it.

  4. 4

    The digits of 3442 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3442 = 2 \times 1721 \]

3442 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5166
Euler totient φ(n)1720
Square11847364
Cube40778626888
Square root58.668561
Digit sum / digital root13 / 4
Collatz steps to 156
Scientific notation3.442 × 10310^{3}

3442 in other forms

FormValue
In wordsthree thousand four hundred and forty-two
Roman numeralsMMMCDXLII
Binary (base 2)110101110010
Octal (base 8)6562
Hexadecimal (base 16)D72
Base 311201111
As time3442 seconds = 57 min 22 s

Is 3442 divisible by 2 to 12?

DivisorAnswerRule
2Yes (3442 ÷ 2 = 1721)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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.
9No (remainder 4)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3442 a prime number?

No. 3442 = 2 × 1721, so it is divisible by 2.

What are the factors of 3442?

1, 2, 1721, 3442.

What is 3442 in binary?

110101110010 (hexadecimal D72, octal 6562).

What is the square root of 3442?

About 58.6686.

What is 3442 in Roman numerals?

MMMCDXLII.

Is 3442 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 3442?

3442 is a semiprime: 2 × 1721, the product of two primes.

All about 3442

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    3442: is it prime? Factors, square root, binary, Roman numeral | WordGPT