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The number 3431

3431 is a composite number with 4 divisors. Its prime factorisation is 47 × 73. Divisors (4): 1, 47, 73, 3431.

Number

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How to work it out

  1. 1

    What is special about 3431: a semiprime: 47 × 73, the product of two primes.

  2. 2

    3431 is composite. Its prime factorisation is

    3431=47×733431 = 47 \times 73
  3. 3

    The divisors add up to 3552; without 3431 itself that is 121, so 3431 is deficient (121 is less than 3431). Euler's totient φ(3431) = 3312 numbers up to 3431 share no factor with it.

  4. 4

    The digits of 3431 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3431 = 47 \times 73 \]

3431 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3552
Euler totient φ(n)3312
Square11771761
Cube40388911991
Square root58.574739
Digit sum / digital root11 / 2
Collatz steps to 1118
Scientific notation3.431 × 10310^{3}

3431 in other forms

FormValue
In wordsthree thousand four hundred and thirty-one
Roman numeralsMMMCDXXXI
Binary (base 2)110101100111
Octal (base 8)6547
Hexadecimal (base 16)D67
Base 311201002
As time3431 seconds = 57 min 11 s

Is 3431 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 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3431 a prime number?

No. 3431 = 47 × 73, so it is divisible by 47.

What are the factors of 3431?

1, 47, 73, 3431.

What is 3431 in binary?

110101100111 (hexadecimal D67, octal 6547).

What is the square root of 3431?

About 58.5747.

What is 3431 in Roman numerals?

MMMCDXXXI.

Is 3431 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 3431?

3431 is a semiprime: 47 × 73, the product of two primes.

All about 3431

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    3431: is it prime? Factors, square root, binary, Roman numeral | WordGPT