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The number 5629

5629 is a composite number with 4 divisors. Its prime factorisation is 13 × 433. Divisors (4): 1, 13, 433, 5629.

Number

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How to work it out

  1. 1

    What is special about 5629: a semiprime: 13 × 433, the product of two primes.

  2. 2

    5629 is composite. Its prime factorisation is

    5629=13×4335629 = 13 \times 433
  3. 3

    The divisors add up to 6076; without 5629 itself that is 447, so 5629 is deficient (447 is less than 5629). Euler's totient φ(5629) = 5184 numbers up to 5629 share no factor with it.

  4. 4

    The digits of 5629 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5629 = 13 \times 433 \]

5629 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6076
Euler totient φ(n)5184
Square31685641
Cube178358473189
Square root75.026662
Digit sum / digital root22 / 4
Collatz steps to 1173
Scientific notation5.629 × 10310^{3}

5629 in other forms

FormValue
In wordsfive thousand six hundred and twenty-nine
Binary (base 2)1010111111101
Octal (base 8)12775
Hexadecimal (base 16)15FD
Base 321201111
As time5629 seconds = 1 h 33 min 49 s

Is 5629 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 5)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5629 a prime number?

No. 5629 = 13 × 433, so it is divisible by 13.

What are the factors of 5629?

1, 13, 433, 5629.

What is 5629 in binary?

1010111111101 (hexadecimal 15FD, octal 12775).

What is the square root of 5629?

About 75.0267.

Is 5629 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 5629?

5629 is a semiprime: 13 × 433, the product of two primes.

All about 5629

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