The number 53372
53372 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1213. Divisors (12): 1, 2, 4, 11, 22, 44, 1213, 2426, 4852, 13343, 26686, 53372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53372 is composite. Its prime factorisation is
- 3
The divisors add up to 101976; without 53372 itself that is 48604, so 53372 is deficient (48604 is less than 53372). Euler's totient φ(53372) = 24240 numbers up to 53372 share no factor with it.
- 4
The digits of 53372 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53372 = 2^{2} \times 11 \times 1213 \]53372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101976 |
| Euler totient φ(n) | 24240 |
| Square | 2848570384 |
| Cube | 152033898534848 |
| Square root | 231.023808 (= 2√13343) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3372 × |
53372 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventy-two |
| Binary (base 2) | 1101000001111100 |
| Octal (base 8) | 150174 |
| Hexadecimal (base 16) | D07C |
| Base 3 | 2201012202 |
| As time | 53372 seconds = 14 h 49 min 32 s |
Is 53372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53372 ÷ 2 = 26686) | 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 (53372 ÷ 4 = 13343) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53372 ÷ 11 = 4852) | 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 53372 a prime number?
No. 53372 = × 11 × 1213, so it is divisible by 2.
What are the factors of 53372?
1, 2, 4, 11, 22, 44, 1213, 2426, 4852, 13343, 26686, 53372.
What is 53372 in binary?
1101000001111100 (hexadecimal D07C, octal 150174).
What is the square root of 53372?
About 231.0238, exactly 2√13343.
Is 53372 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53372?
It is a composite number with 12 divisors.