The number 5477
5477 is a twin prime (5477 and 5479 are both prime) and the 723rd prime number. Its only divisors are 1 and 5477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5477: a twin prime (5477 and 5479 are both prime); the 723rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5477 is prime, so its only factors are 1 and 5477. It is the 723rd prime; the next prime is 5479 and the one before is 5471.
- 3
The divisors add up to 5478; without 5477 itself that is 1, so 5477 is deficient (1 is less than 5477). Euler's totient φ(5477) = 5476 numbers up to 5477 share no factor with it.
- 4
The digits of 5477 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
5477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5478 |
| Euler totient φ(n) | 5476 |
| Square | 29997529 |
| Cube | 164296466333 |
| Square root | 74.006756 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.477 × |
5477 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and seventy-seven |
| Binary (base 2) | 1010101100101 |
| Octal (base 8) | 12545 |
| Hexadecimal (base 16) | 1565 |
| Base 3 | 21111212 |
| As time | 5477 seconds = 1 h 31 min 17 s |
Is 5477 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5477 a prime number?
Yes. 5477 is divisible only by 1 and itself.
What are the factors of 5477?
1, 5477.
What is 5477 in binary?
1010101100101 (hexadecimal 1565, octal 12545).
What is the square root of 5477?
About 74.0068.
Is 5477 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5477?
5477 is a twin prime (5477 and 5479 are both prime); the 723rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.