The number 53375
53375 is a composite number with 16 divisors. Its prime factorisation is × 7 × 61. Divisors (16): 1, 5, 7, 25, 35, 61, 125, 175, 305, 427, 875, 1525, 2135, 7625, 10675, 53375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53375 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 53375 itself that is 24001, so 53375 is deficient (24001 is less than 53375). Euler's totient φ(53375) = 36000 numbers up to 53375 share no factor with it.
- 4
The digits of 53375 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53375 = 5^{3} \times 7 \times 61 \]53375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 36000 |
| Square | 2848890625 |
| Cube | 152059537109375 |
| Square root | 231.030301 (= 5√2135) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3375 × |
53375 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventy-five |
| Binary (base 2) | 1101000001111111 |
| Octal (base 8) | 150177 |
| Hexadecimal (base 16) | D07F |
| Base 3 | 2201012212 |
| As time | 53375 seconds = 14 h 49 min 35 s |
Is 53375 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53375 ÷ 5 = 10675) | 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 | Yes (53375 ÷ 7 = 7625) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53375 a prime number?
No. 53375 = × 7 × 61, so it is divisible by 5.
What are the factors of 53375?
1, 5, 7, 25, 35, 61, 125, 175, 305, 427, 875, 1525, 2135, 7625, 10675, 53375.
What is 53375 in binary?
1101000001111111 (hexadecimal D07F, octal 150177).
What is the square root of 53375?
About 231.0303, exactly 5√2135.
Is 53375 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53375?
It is a composite number with 16 divisors.