The number 71337
71337 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 43 × 79. Divisors (16): 1, 3, 7, 21, 43, 79, 129, 237, 301, 553, 903, 1659, 3397, 10191, 23779, 71337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71337: a Harshad number: divisible by its digit sum 21.
- 2
71337 is composite. Its prime factorisation is
- 3
The divisors add up to 112640; without 71337 itself that is 41303, so 71337 is deficient (41303 is less than 71337). Euler's totient φ(71337) = 39312 numbers up to 71337 share no factor with it.
- 4
The digits of 71337 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71337 = 3 \times 7 \times 43 \times 79 \]
71337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112640 |
| Euler totient φ(n) | 39312 |
| Square | 5088967569 |
| Cube | 363031679469753 |
| Square root | 267.089873 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.1337 × |
71337 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and thirty-seven |
| Binary (base 2) | 10001011010101001 |
| Octal (base 8) | 213251 |
| Hexadecimal (base 16) | 116A9 |
| Base 3 | 10121212010 |
| As time | 71337 seconds = 19 h 48 min 57 s |
Is 71337 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 (71337 ÷ 3 = 23779) | 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 2) | 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 (71337 ÷ 7 = 10191) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 71337 a prime number?
No. 71337 = 3 × 7 × 43 × 79, so it is divisible by 3.
What are the factors of 71337?
1, 3, 7, 21, 43, 79, 129, 237, 301, 553, 903, 1659, 3397, 10191, 23779, 71337.
What is 71337 in binary?
10001011010101001 (hexadecimal 116A9, octal 213251).
What is the square root of 71337?
About 267.0899.
Is 71337 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71337?
71337 is a Harshad number: divisible by its digit sum 21.