The number 23320
23320 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 53. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 53, 55, 88, 106, 110 … 23320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23320: a Harshad number: divisible by its digit sum 10.
- 2
23320 is composite. Its prime factorisation is
- 3
The divisors add up to 58320; without 23320 itself that is 35000, so 23320 is abundant (35000 is more than 23320). Euler's totient φ(23320) = 8320 numbers up to 23320 share no factor with it.
- 4
The digits of 23320 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23320 = 2^{3} \times 5 \times 11 \times 53 \]23320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 58320 |
| Euler totient φ(n) | 8320 |
| Square | 543822400 |
| Cube | 12681938368000 |
| Square root | 152.708873 (= 2√5830) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.332 × |
23320 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and twenty |
| Binary (base 2) | 101101100011000 |
| Octal (base 8) | 55430 |
| Hexadecimal (base 16) | 5B18 |
| Base 3 | 1011222201 |
| As time | 23320 seconds = 6 h 28 min 40 s |
Is 23320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23320 ÷ 2 = 11660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23320 ÷ 4 = 5830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23320 ÷ 5 = 4664) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (23320 ÷ 8 = 2915) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23320 ÷ 10 = 2332) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23320 ÷ 11 = 2120) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23320 a prime number?
No. 23320 = × 5 × 11 × 53, so it is divisible by 2.
What are the factors of 23320?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 53, 55, 88, 106, 110, 212, 220, 265, 424, 440, 530, 583, 1060, 1166, 2120, 2332, 2915, 4664, 5830, 11660, 23320.
What is 23320 in binary?
101101100011000 (hexadecimal 5B18, octal 55430).
What is the square root of 23320?
About 152.7089, exactly 2√5830.
Is 23320 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 23320?
23320 is a Harshad number: divisible by its digit sum 10.