The number 52437
52437 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 227. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 227, 231, 681, 1589, 2497, 4767, 7491, 17479, 52437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52437: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
52437 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 52437 itself that is 35115, so 52437 is deficient (35115 is less than 52437). Euler's totient φ(52437) = 27120 numbers up to 52437 share no factor with it.
- 4
The digits of 52437 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52437 = 3 \times 7 \times 11 \times 227 \]
52437 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 27120 |
| Square | 2749638969 |
| Cube | 144182818617453 |
| Square root | 228.991266 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2437 × |
52437 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and thirty-seven |
| Binary (base 2) | 1100110011010101 |
| Octal (base 8) | 146325 |
| Hexadecimal (base 16) | CCD5 |
| Base 3 | 2122221010 |
| As time | 52437 seconds = 14 h 33 min 57 s |
Is 52437 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 (52437 ÷ 3 = 17479) | 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 | Yes (52437 ÷ 7 = 7491) | 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 | Yes (52437 ÷ 11 = 4767) | 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 52437 a prime number?
No. 52437 = 3 × 7 × 11 × 227, so it is divisible by 3.
What are the factors of 52437?
1, 3, 7, 11, 21, 33, 77, 227, 231, 681, 1589, 2497, 4767, 7491, 17479, 52437.
What is 52437 in binary?
1100110011010101 (hexadecimal CCD5, octal 146325).
What is the square root of 52437?
About 228.9913.
Is 52437 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 52437?
52437 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.