The number 51357
51357 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 19 × 53. Divisors (16): 1, 3, 17, 19, 51, 53, 57, 159, 323, 901, 969, 1007, 2703, 3021, 17119, 51357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51357: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
51357 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 51357 itself that is 26403, so 51357 is deficient (26403 is less than 51357). Euler's totient φ(51357) = 29952 numbers up to 51357 share no factor with it.
- 4
The digits of 51357 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51357 = 3 \times 17 \times 19 \times 53 \]
51357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 29952 |
| Square | 2637541449 |
| Cube | 135456216196293 |
| Square root | 226.620829 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.1357 × |
51357 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand three hundred and fifty-seven |
| Binary (base 2) | 1100100010011101 |
| Octal (base 8) | 144235 |
| Hexadecimal (base 16) | C89D |
| Base 3 | 2121110010 |
| As time | 51357 seconds = 14 h 15 min 57 s |
Is 51357 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 (51357 ÷ 3 = 17119) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 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 51357 a prime number?
No. 51357 = 3 × 17 × 19 × 53, so it is divisible by 3.
What are the factors of 51357?
1, 3, 17, 19, 51, 53, 57, 159, 323, 901, 969, 1007, 2703, 3021, 17119, 51357.
What is 51357 in binary?
1100100010011101 (hexadecimal C89D, octal 144235).
What is the square root of 51357?
About 226.6208.
Is 51357 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 51357?
51357 is a happy number: repeatedly adding the squares of its digits reaches 1.