The number 23010
23010 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 59. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 59, 65, 78, 118, 130 … 23010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23010: a Harshad number: divisible by its digit sum 6.
- 2
23010 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 23010 itself that is 37470, so 23010 is abundant (37470 is more than 23010). Euler's totient φ(23010) = 5568 numbers up to 23010 share no factor with it.
- 4
The digits of 23010 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23010 = 2 \times 3 \times 5 \times 13 \times 59 \]
23010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 5568 |
| Square | 529460100 |
| Cube | 12182876901000 |
| Square root | 151.690474 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.301 × |
23010 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and ten |
| Binary (base 2) | 101100111100010 |
| Octal (base 8) | 54742 |
| Hexadecimal (base 16) | 59E2 |
| Base 3 | 1011120020 |
| As time | 23010 seconds = 6 h 23 min 30 s |
Is 23010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23010 ÷ 2 = 11505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23010 ÷ 3 = 7670) | 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 (23010 ÷ 5 = 4602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23010 ÷ 6 = 3835) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (23010 ÷ 10 = 2301) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 23010 a prime number?
No. 23010 = 2 × 3 × 5 × 13 × 59, so it is divisible by 2.
What are the factors of 23010?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 59, 65, 78, 118, 130, 177, 195, 295, 354, 390, 590, 767, 885, 1534, 1770, 2301, 3835, 4602, 7670, 11505, 23010.
What is 23010 in binary?
101100111100010 (hexadecimal 59E2, octal 54742).
What is the square root of 23010?
About 151.6905.
Is 23010 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 23010?
23010 is a Harshad number: divisible by its digit sum 6.