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The number 5359

5359 is a composite number with 4 divisors. Its prime factorisation is 23 × 233. Divisors (4): 1, 23, 233, 5359.

Number

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How to work it out

  1. 1

    What is special about 5359: a semiprime: 23 × 233, the product of two primes.

  2. 2

    5359 is composite. Its prime factorisation is

    5359=23×2335359 = 23 \times 233
  3. 3

    The divisors add up to 5616; without 5359 itself that is 257, so 5359 is deficient (257 is less than 5359). Euler's totient φ(5359) = 5104 numbers up to 5359 share no factor with it.

  4. 4

    The digits of 5359 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 191 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5359 = 23 \times 233 \]

5359 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5616
Euler totient φ(n)5104
Square28718881
Cube153904483279
Square root73.205191
Digit sum / digital root22 / 4
Collatz steps to 1191
Scientific notation5.359 × 10310^{3}

5359 in other forms

FormValue
In wordsfive thousand three hundred and fifty-nine
Binary (base 2)1010011101111
Octal (base 8)12357
Hexadecimal (base 16)14EF
Base 321100111
As time5359 seconds = 1 h 29 min 19 s

Is 5359 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 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 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 7)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 2)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 5359 a prime number?

No. 5359 = 23 × 233, so it is divisible by 23.

What are the factors of 5359?

1, 23, 233, 5359.

What is 5359 in binary?

1010011101111 (hexadecimal 14EF, octal 12357).

What is the square root of 5359?

About 73.2052.

Is 5359 divisible by 3?

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

What is special about the number 5359?

5359 is a semiprime: 23 × 233, the product of two primes.

All about 5359

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