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The number 5315

5315 is a composite number with 4 divisors. Its prime factorisation is 5 × 1063. Divisors (4): 1, 5, 1063, 5315.

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How to work it out

  1. 1

    What is special about 5315: a semiprime: 5 × 1063, the product of two primes.

  2. 2

    5315 is composite. Its prime factorisation is

    5315=5×10635315 = 5 \times 1063
  3. 3

    The divisors add up to 6384; without 5315 itself that is 1069, so 5315 is deficient (1069 is less than 5315). Euler's totient φ(5315) = 4248 numbers up to 5315 share no factor with it.

  4. 4

    The digits of 5315 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5315 = 5 \times 1063 \]

5315 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6384
Euler totient φ(n)4248
Square28249225
Cube150144630875
Square root72.904047
Digit sum / digital root14 / 5
Collatz steps to 154
Scientific notation5.315 × 10310^{3}

5315 in other forms

FormValue
In wordsfive thousand three hundred and fifteen
Binary (base 2)1010011000011
Octal (base 8)12303
Hexadecimal (base 16)14C3
Base 321021212
As time5315 seconds = 1 h 28 min 35 s

Is 5315 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.
5Yes (5315 ÷ 5 = 1063)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 5315 a prime number?

No. 5315 = 5 × 1063, so it is divisible by 5.

What are the factors of 5315?

1, 5, 1063, 5315.

What is 5315 in binary?

1010011000011 (hexadecimal 14C3, octal 12303).

What is the square root of 5315?

About 72.9040.

Is 5315 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 5315?

5315 is a semiprime: 5 × 1063, the product of two primes.

All about 5315

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