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The number 3427

3427 is a composite number with 4 divisors. Its prime factorisation is 23 × 149. Divisors (4): 1, 23, 149, 3427.

Number

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How to work it out

  1. 1

    What is special about 3427: a semiprime: 23 × 149, the product of two primes.

  2. 2

    3427 is composite. Its prime factorisation is

    3427=23×1493427 = 23 \times 149
  3. 3

    The divisors add up to 3600; without 3427 itself that is 173, so 3427 is deficient (173 is less than 3427). Euler's totient φ(3427) = 3256 numbers up to 3427 share no factor with it.

  4. 4

    The digits of 3427 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3427 = 23 \times 149 \]

3427 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3600
Euler totient φ(n)3256
Square11744329
Cube40247815483
Square root58.540584
Digit sum / digital root16 / 7
Collatz steps to 130
Scientific notation3.427 × 10310^{3}

3427 in other forms

FormValue
In wordsthree thousand four hundred and twenty-seven
Roman numeralsMMMCDXXVII
Binary (base 2)110101100011
Octal (base 8)6543
Hexadecimal (base 16)D63
Base 311200221
As time3427 seconds = 57 min 7 s

Is 3427 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 3)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3427 a prime number?

No. 3427 = 23 × 149, so it is divisible by 23.

What are the factors of 3427?

1, 23, 149, 3427.

What is 3427 in binary?

110101100011 (hexadecimal D63, octal 6543).

What is the square root of 3427?

About 58.5406.

What is 3427 in Roman numerals?

MMMCDXXVII.

Is 3427 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 3427?

3427 is a semiprime: 23 × 149, the product of two primes.

All about 3427

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    3427: is it prime? Factors, square root, binary, Roman numeral | WordGPT