The number 23373
23373 is a composite number with 18 divisors. Its prime factorisation is × × 53. Divisors (18): 1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339 … 23373.
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How to work it out
- 1
23373 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23373 is composite. Its prime factorisation is
- 3
The divisors add up to 40014; without 23373 itself that is 16641, so 23373 is deficient (16641 is less than 23373). Euler's totient φ(23373) = 13104 numbers up to 23373 share no factor with it.
- 4
The digits of 23373 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 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23373 = 3^{2} \times 7^{2} \times 53 \]23373 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 40014 |
| Euler totient φ(n) | 13104 |
| Square | 546297129 |
| Cube | 12768602796117 |
| Square root | 152.882308 (= 21√53) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3373 × |
23373 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and seventy-three |
| Binary (base 2) | 101101101001101 |
| Octal (base 8) | 55515 |
| Hexadecimal (base 16) | 5B4D |
| Base 3 | 1012001200 |
| As time | 23373 seconds = 6 h 29 min 33 s |
Is 23373 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23373 ÷ 3 = 7791) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23373 ÷ 7 = 3339) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23373 ÷ 9 = 2597) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23373 a prime number?
No. 23373 = × × 53, so it is divisible by 3.
What are the factors of 23373?
1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791, 23373.
What is 23373 in binary?
101101101001101 (hexadecimal 5B4D, octal 55515).
What is the square root of 23373?
About 152.8823, exactly 21√53.
Is 23373 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23373?
It is a composite number with 18 divisors.