The number 23742
23742 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1319. Divisors (12): 1, 2, 3, 6, 9, 18, 1319, 2638, 3957, 7914, 11871, 23742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
23742 is composite. Its prime factorisation is
- 3
The divisors add up to 51480; without 23742 itself that is 27738, so 23742 is abundant (27738 is more than 23742). Euler's totient φ(23742) = 7908 numbers up to 23742 share no factor with it.
- 4
The digits of 23742 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23742 = 2 \times 3^{2} \times 1319 \]23742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51480 |
| Euler totient φ(n) | 7908 |
| Square | 563682564 |
| Cube | 13382951434488 |
| Square root | 154.084392 (= 3√2638) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.3742 × |
23742 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and forty-two |
| Binary (base 2) | 101110010111110 |
| Octal (base 8) | 56276 |
| Hexadecimal (base 16) | 5CBE |
| Base 3 | 1012120100 |
| As time | 23742 seconds = 6 h 35 min 42 s |
Is 23742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23742 ÷ 2 = 11871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23742 ÷ 3 = 7914) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23742 ÷ 6 = 3957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (23742 ÷ 9 = 2638) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 23742 a prime number?
No. 23742 = 2 × × 1319, so it is divisible by 2.
What are the factors of 23742?
1, 2, 3, 6, 9, 18, 1319, 2638, 3957, 7914, 11871, 23742.
What is 23742 in binary?
101110010111110 (hexadecimal 5CBE, octal 56276).
What is the square root of 23742?
About 154.0844, exactly 3√2638.
Is 23742 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23742?
23742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.