The number 23370
23370 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 19 × 41. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123 … 23370.
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How to work it out
- 1
What is special about 23370: a Harshad number: divisible by its digit sum 15.
- 2
23370 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 23370 itself that is 37110, so 23370 is abundant (37110 is more than 23370). Euler's totient φ(23370) = 5760 numbers up to 23370 share no factor with it.
- 4
The digits of 23370 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23370 = 2 \times 3 \times 5 \times 19 \times 41 \]
23370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 5760 |
| Square | 546156900 |
| Cube | 12763686753000 |
| Square root | 152.872496 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.337 × |
23370 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and seventy |
| Binary (base 2) | 101101101001010 |
| Octal (base 8) | 55512 |
| Hexadecimal (base 16) | 5B4A |
| Base 3 | 1012001120 |
| As time | 23370 seconds = 6 h 29 min 30 s |
Is 23370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23370 ÷ 2 = 11685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23370 ÷ 3 = 7790) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23370 ÷ 5 = 4674) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23370 ÷ 6 = 3895) | 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 2) | 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 | Yes (23370 ÷ 10 = 2337) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23370 a prime number?
No. 23370 = 2 × 3 × 5 × 19 × 41, so it is divisible by 2.
What are the factors of 23370?
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685, 23370.
What is 23370 in binary?
101101101001010 (hexadecimal 5B4A, octal 55512).
What is the square root of 23370?
About 152.8725.
Is 23370 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 23370?
23370 is a Harshad number: divisible by its digit sum 15.