The number 23972
23972 is a composite number with 12 divisors. Its prime factorisation is × 13 × 461. Divisors (12): 1, 2, 4, 13, 26, 52, 461, 922, 1844, 5993, 11986, 23972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23972 is composite. Its prime factorisation is
- 3
The divisors add up to 45276; without 23972 itself that is 21304, so 23972 is deficient (21304 is less than 23972). Euler's totient φ(23972) = 11040 numbers up to 23972 share no factor with it.
- 4
The digits of 23972 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23972 = 2^{2} \times 13 \times 461 \]23972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45276 |
| Euler totient φ(n) | 11040 |
| Square | 574656784 |
| Cube | 13775672426048 |
| Square root | 154.828938 (= 2√5993) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3972 × |
23972 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and seventy-two |
| Binary (base 2) | 101110110100100 |
| Octal (base 8) | 56644 |
| Hexadecimal (base 16) | 5DA4 |
| Base 3 | 1012212212 |
| As time | 23972 seconds = 6 h 39 min 32 s |
Is 23972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23972 ÷ 2 = 11986) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23972 ÷ 4 = 5993) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23972 a prime number?
No. 23972 = × 13 × 461, so it is divisible by 2.
What are the factors of 23972?
1, 2, 4, 13, 26, 52, 461, 922, 1844, 5993, 11986, 23972.
What is 23972 in binary?
101110110100100 (hexadecimal 5DA4, octal 56644).
What is the square root of 23972?
About 154.8289, exactly 2√5993.
Is 23972 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 23972?
It is a composite number with 12 divisors.