The number 55713
55713 is a composite number with 12 divisors. Its prime factorisation is 3 × × 379. Divisors (12): 1, 3, 7, 21, 49, 147, 379, 1137, 2653, 7959, 18571, 55713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55713: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
55713 is composite. Its prime factorisation is
- 3
The divisors add up to 86640; without 55713 itself that is 30927, so 55713 is deficient (30927 is less than 55713). Euler's totient φ(55713) = 31752 numbers up to 55713 share no factor with it.
- 4
The digits of 55713 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55713 = 3 \times 7^{2} \times 379 \]55713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86640 |
| Euler totient φ(n) | 31752 |
| Square | 3103938369 |
| Cube | 172929718352097 |
| Square root | 236.036014 (= 7√1137) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5713 × |
55713 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirteen |
| Binary (base 2) | 1101100110100001 |
| Octal (base 8) | 154641 |
| Hexadecimal (base 16) | D9A1 |
| Base 3 | 2211102110 |
| As time | 55713 seconds = 15 h 28 min 33 s |
Is 55713 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 | Yes (55713 ÷ 3 = 18571) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55713 ÷ 7 = 7959) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55713 a prime number?
No. 55713 = 3 × × 379, so it is divisible by 3.
What are the factors of 55713?
1, 3, 7, 21, 49, 147, 379, 1137, 2653, 7959, 18571, 55713.
What is 55713 in binary?
1101100110100001 (hexadecimal D9A1, octal 154641).
What is the square root of 55713?
About 236.0360, exactly 7√1137.
Is 55713 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55713?
55713 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.