The number 72967
72967 is a composite number with 4 divisors. Its prime factorisation is 131 × 557. Divisors (4): 1, 131, 557, 72967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72967: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 557, the product of two primes.
- 2
72967 is composite. Its prime factorisation is
- 3
The divisors add up to 73656; without 72967 itself that is 689, so 72967 is deficient (689 is less than 72967). Euler's totient φ(72967) = 72280 numbers up to 72967 share no factor with it.
- 4
The digits of 72967 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72967 = 131 \times 557 \]
72967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73656 |
| Euler totient φ(n) | 72280 |
| Square | 5324183089 |
| Cube | 388489667455063 |
| Square root | 270.124046 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2967 × |
72967 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and sixty-seven |
| Binary (base 2) | 10001110100000111 |
| Octal (base 8) | 216407 |
| Hexadecimal (base 16) | 11D07 |
| Base 3 | 10201002111 |
| As time | 72967 seconds = 20 h 16 min 7 s |
Is 72967 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 3) | 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 1) | 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 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72967 a prime number?
No. 72967 = 131 × 557, so it is divisible by 131.
What are the factors of 72967?
1, 131, 557, 72967.
What is 72967 in binary?
10001110100000111 (hexadecimal 11D07, octal 216407).
What is the square root of 72967?
About 270.1240.
Is 72967 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 72967?
72967 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 557, the product of two primes.