The number 32913
32913 is a composite number with 16 divisors. Its prime factorisation is × 23 × 53. Divisors (16): 1, 3, 9, 23, 27, 53, 69, 159, 207, 477, 621, 1219, 1431, 3657, 10971, 32913.
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How to work it out
- 1
32913 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32913 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 32913 itself that is 18927, so 32913 is deficient (18927 is less than 32913). Euler's totient φ(32913) = 20592 numbers up to 32913 share no factor with it.
- 4
The digits of 32913 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 266 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32913 = 3^{3} \times 23 \times 53 \]32913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 20592 |
| Square | 1083265569 |
| Cube | 35653519672497 |
| Square root | 181.419404 (= 3√3657) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 266 |
| Scientific notation | 3.2913 × |
32913 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and thirteen |
| Binary (base 2) | 1000000010010001 |
| Octal (base 8) | 100221 |
| Hexadecimal (base 16) | 8091 |
| Base 3 | 1200011000 |
| As time | 32913 seconds = 9 h 8 min 33 s |
Is 32913 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 (32913 ÷ 3 = 10971) | 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 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32913 ÷ 9 = 3657) | 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 1) | 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 32913 a prime number?
No. 32913 = × 23 × 53, so it is divisible by 3.
What are the factors of 32913?
1, 3, 9, 23, 27, 53, 69, 159, 207, 477, 621, 1219, 1431, 3657, 10971, 32913.
What is 32913 in binary?
1000000010010001 (hexadecimal 8091, octal 100221).
What is the square root of 32913?
About 181.4194, exactly 3√3657.
Is 32913 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32913?
It is a composite number with 16 divisors.