The number 23980
23980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 109. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 109, 110, 218, 220, 436, 545 … 23980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23980: a Harshad number: divisible by its digit sum 22.
- 2
23980 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 23980 itself that is 31460, so 23980 is abundant (31460 is more than 23980). Euler's totient φ(23980) = 8640 numbers up to 23980 share no factor with it.
- 4
The digits of 23980 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23980 = 2^{2} \times 5 \times 11 \times 109 \]23980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 8640 |
| Square | 575040400 |
| Cube | 13789468792000 |
| Square root | 154.854771 (= 2√5995) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.398 × |
23980 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and eighty |
| Binary (base 2) | 101110110101100 |
| Octal (base 8) | 56654 |
| Hexadecimal (base 16) | 5DAC |
| Base 3 | 1012220011 |
| As time | 23980 seconds = 6 h 39 min 40 s |
Is 23980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23980 ÷ 2 = 11990) | 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 (23980 ÷ 4 = 5995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23980 ÷ 5 = 4796) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23980 ÷ 10 = 2398) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23980 ÷ 11 = 2180) | 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 23980 a prime number?
No. 23980 = × 5 × 11 × 109, so it is divisible by 2.
What are the factors of 23980?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 109, 110, 218, 220, 436, 545, 1090, 1199, 2180, 2398, 4796, 5995, 11990, 23980.
What is 23980 in binary?
101110110101100 (hexadecimal 5DAC, octal 56654).
What is the square root of 23980?
About 154.8548, exactly 2√5995.
Is 23980 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 23980?
23980 is a Harshad number: divisible by its digit sum 22.