The number 23976
23976 is a composite number with 40 divisors. Its prime factorisation is × × 37. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74 … 23976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23976: a Harshad number: divisible by its digit sum 27.
- 2
23976 is composite. Its prime factorisation is
- 3
The divisors add up to 68970; without 23976 itself that is 44994, so 23976 is abundant (44994 is more than 23976). Euler's totient φ(23976) = 7776 numbers up to 23976 share no factor with it.
- 4
The digits of 23976 add up to 27, 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
\[ 23976 = 2^{3} \times 3^{4} \times 37 \]23976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 68970 |
| Euler totient φ(n) | 7776 |
| Square | 574848576 |
| Cube | 13782569458176 |
| Square root | 154.841855 (= 18√74) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3976 × |
23976 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and seventy-six |
| Binary (base 2) | 101110110101000 |
| Octal (base 8) | 56650 |
| Hexadecimal (base 16) | 5DA8 |
| Base 3 | 1012220000 |
| As time | 23976 seconds = 6 h 39 min 36 s |
Is 23976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23976 ÷ 2 = 11988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23976 ÷ 3 = 7992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23976 ÷ 4 = 5994) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23976 ÷ 6 = 3996) | 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 | Yes (23976 ÷ 8 = 2997) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23976 ÷ 9 = 2664) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23976 ÷ 12 = 1998) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23976 a prime number?
No. 23976 = × × 37, so it is divisible by 2.
What are the factors of 23976?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 296, 324, 333, 444, 648, 666, 888, 999, 1332, 1998, 2664, 2997, 3996, 5994, 7992, 11988, 23976.
What is 23976 in binary?
101110110101000 (hexadecimal 5DA8, octal 56650).
What is the square root of 23976?
About 154.8419, exactly 18√74.
Is 23976 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 23976?
23976 is a Harshad number: divisible by its digit sum 27.