The number 5420
5420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 271. Divisors (12): 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5420 is composite. Its prime factorisation is
- 3
The divisors add up to 11424; without 5420 itself that is 6004, so 5420 is abundant (6004 is more than 5420). Euler's totient φ(5420) = 2160 numbers up to 5420 share no factor with it.
- 4
The digits of 5420 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5420 = 2^{2} \times 5 \times 271 \]5420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11424 |
| Euler totient φ(n) | 2160 |
| Square | 29376400 |
| Cube | 159220088000 |
| Square root | 73.620649 (= 2√1355) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.42 × |
5420 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and twenty |
| Binary (base 2) | 1010100101100 |
| Octal (base 8) | 12454 |
| Hexadecimal (base 16) | 152C |
| Base 3 | 21102202 |
| As time | 5420 seconds = 1 h 30 min 20 s |
Is 5420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5420 ÷ 2 = 2710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5420 ÷ 4 = 1355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5420 ÷ 5 = 1084) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5420 ÷ 10 = 542) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5420 a prime number?
No. 5420 = × 5 × 271, so it is divisible by 2.
What are the factors of 5420?
1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420.
What is 5420 in binary?
1010100101100 (hexadecimal 152C, octal 12454).
What is the square root of 5420?
About 73.6206, exactly 2√1355.
Is 5420 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5420?
It is a composite number with 12 divisors.