The number 23380
23380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 167. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835 … 23380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23380: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23380 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 23380 itself that is 33068, so 23380 is abundant (33068 is more than 23380). Euler's totient φ(23380) = 7968 numbers up to 23380 share no factor with it.
- 4
The digits of 23380 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23380 = 2^{2} \times 5 \times 7 \times 167 \]23380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 7968 |
| Square | 546624400 |
| Cube | 12780078472000 |
| Square root | 152.905199 (= 2√5845) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.338 × |
23380 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and eighty |
| Binary (base 2) | 101101101010100 |
| Octal (base 8) | 55524 |
| Hexadecimal (base 16) | 5B54 |
| Base 3 | 1012001221 |
| As time | 23380 seconds = 6 h 29 min 40 s |
Is 23380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23380 ÷ 2 = 11690) | 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 (23380 ÷ 4 = 5845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23380 ÷ 5 = 4676) | 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 | Yes (23380 ÷ 7 = 3340) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23380 ÷ 10 = 2338) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 23380 a prime number?
No. 23380 = × 5 × 7 × 167, so it is divisible by 2.
What are the factors of 23380?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690, 23380.
What is 23380 in binary?
101101101010100 (hexadecimal 5B54, octal 55524).
What is the square root of 23380?
About 152.9052, exactly 2√5845.
Is 23380 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 23380?
23380 is a happy number: repeatedly adding the squares of its digits reaches 1.