The number 73981
73981 is a composite number with 4 divisors. Its prime factorisation is 167 × 443. Divisors (4): 1, 167, 443, 73981.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73981: a semiprime: 167 × 443, the product of two primes.
- 2
73981 is composite. Its prime factorisation is
- 3
The divisors add up to 74592; without 73981 itself that is 611, so 73981 is deficient (611 is less than 73981). Euler's totient φ(73981) = 73372 numbers up to 73981 share no factor with it.
- 4
The digits of 73981 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73981 = 167 \times 443 \]
73981 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74592 |
| Euler totient φ(n) | 73372 |
| Square | 5473188361 |
| Cube | 404911948135141 |
| Square root | 271.994485 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3981 × |
73981 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-one |
| Binary (base 2) | 10010000011111101 |
| Octal (base 8) | 220375 |
| Hexadecimal (base 16) | 120FD |
| Base 3 | 10202111001 |
| As time | 73981 seconds = 20 h 33 min 1 s |
Is 73981 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73981 a prime number?
No. 73981 = 167 × 443, so it is divisible by 167.
What are the factors of 73981?
1, 167, 443, 73981.
What is 73981 in binary?
10010000011111101 (hexadecimal 120FD, octal 220375).
What is the square root of 73981?
About 271.9945.
Is 73981 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73981?
73981 is a semiprime: 167 × 443, the product of two primes.