The number 52377
52377 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 79. Divisors (16): 1, 3, 13, 17, 39, 51, 79, 221, 237, 663, 1027, 1343, 3081, 4029, 17459, 52377.
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How to work it out
- 1
52377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52377 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 52377 itself that is 28263, so 52377 is deficient (28263 is less than 52377). Euler's totient φ(52377) = 29952 numbers up to 52377 share no factor with it.
- 4
The digits of 52377 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52377 = 3 \times 13 \times 17 \times 79 \]
52377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 29952 |
| Square | 2743350129 |
| Cube | 143688449706633 |
| Square root | 228.860219 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2377 × |
52377 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand three hundred and seventy-seven |
| Binary (base 2) | 1100110010011001 |
| Octal (base 8) | 146231 |
| Hexadecimal (base 16) | CC99 |
| Base 3 | 2122211220 |
| As time | 52377 seconds = 14 h 32 min 57 s |
Is 52377 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 (52377 ÷ 3 = 17459) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 52377 a prime number?
No. 52377 = 3 × 13 × 17 × 79, so it is divisible by 3.
What are the factors of 52377?
1, 3, 13, 17, 39, 51, 79, 221, 237, 663, 1027, 1343, 3081, 4029, 17459, 52377.
What is 52377 in binary?
1100110010011001 (hexadecimal CC99, octal 146231).
What is the square root of 52377?
About 228.8602.
Is 52377 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 52377?
It is a composite number with 16 divisors.