The number 72973
72973 is the 7216th prime number. Its only divisors are 1 and 72973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72973: the 7216th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72973 is prime, so its only factors are 1 and 72973. It is the 7216th prime; the next prime is 72977 and the one before is 72959.
- 3
The divisors add up to 72974; without 72973 itself that is 1, so 72973 is deficient (1 is less than 72973). Euler's totient φ(72973) = 72972 numbers up to 72973 share no factor with it.
- 4
The digits of 72973 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 63 steps to reach 1.
72973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72974 |
| Euler totient φ(n) | 72972 |
| Square | 5325058729 |
| Cube | 388585510631317 |
| Square root | 270.135151 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2973 × |
72973 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and seventy-three |
| Binary (base 2) | 10001110100001101 |
| Octal (base 8) | 216415 |
| Hexadecimal (base 16) | 11D0D |
| Base 3 | 10201002201 |
| As time | 72973 seconds = 20 h 16 min 13 s |
Is 72973 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 72973 a prime number?
Yes. 72973 is divisible only by 1 and itself.
What are the factors of 72973?
1, 72973.
What is 72973 in binary?
10001110100001101 (hexadecimal 11D0D, octal 216415).
What is the square root of 72973?
About 270.1352.
Is 72973 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72973?
72973 is the 7216th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.