The number 23310
23310 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 37. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 37, 42 … 23310.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23310: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
23310 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 23310 itself that is 47826, so 23310 is abundant (47826 is more than 23310). Euler's totient φ(23310) = 5184 numbers up to 23310 share no factor with it.
- 4
The digits of 23310 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23310 = 2 \times 3^{2} \times 5 \times 7 \times 37 \]23310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 5184 |
| Square | 543356100 |
| Cube | 12665630691000 |
| Square root | 152.676128 (= 3√2590) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.331 × |
23310 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and ten |
| Binary (base 2) | 101101100001110 |
| Octal (base 8) | 55416 |
| Hexadecimal (base 16) | 5B0E |
| Base 3 | 1011222100 |
| As time | 23310 seconds = 6 h 28 min 30 s |
Is 23310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23310 ÷ 2 = 11655) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23310 ÷ 3 = 7770) | 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 (23310 ÷ 5 = 4662) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23310 ÷ 6 = 3885) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23310 ÷ 7 = 3330) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23310 ÷ 9 = 2590) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23310 ÷ 10 = 2331) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 23310 a prime number?
No. 23310 = 2 × × 5 × 7 × 37, so it is divisible by 2.
What are the factors of 23310?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 37, 42, 45, 63, 70, 74, 90, 105, 111, 126, 185, 210, 222, 259, 315, 333, 370, 518, 555, 630, 666, 777, 1110, 1295, 1554, 1665, 2331, 2590, 3330, 3885, 4662, 7770, 11655, 23310.
What is 23310 in binary?
101101100001110 (hexadecimal 5B0E, octal 55416).
What is the square root of 23310?
About 152.6761, exactly 3√2590.
Is 23310 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 23310?
23310 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.