The number 72974
72974 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 31 × 107. Divisors (16): 1, 2, 11, 22, 31, 62, 107, 214, 341, 682, 1177, 2354, 3317, 6634, 36487, 72974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72974 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72974 is composite. Its prime factorisation is
- 3
The divisors add up to 124416; without 72974 itself that is 51442, so 72974 is deficient (51442 is less than 72974). Euler's totient φ(72974) = 31800 numbers up to 72974 share no factor with it.
- 4
The digits of 72974 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72974 = 2 \times 11 \times 31 \times 107 \]
72974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124416 |
| Euler totient φ(n) | 31800 |
| Square | 5325204676 |
| Cube | 388601486026424 |
| Square root | 270.137002 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2974 × |
72974 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and seventy-four |
| Binary (base 2) | 10001110100001110 |
| Octal (base 8) | 216416 |
| Hexadecimal (base 16) | 11D0E |
| Base 3 | 10201002202 |
| As time | 72974 seconds = 20 h 16 min 14 s |
Is 72974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72974 ÷ 2 = 36487) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72974 ÷ 11 = 6634) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72974 a prime number?
No. 72974 = 2 × 11 × 31 × 107, so it is divisible by 2.
What are the factors of 72974?
1, 2, 11, 22, 31, 62, 107, 214, 341, 682, 1177, 2354, 3317, 6634, 36487, 72974.
What is 72974 in binary?
10001110100001110 (hexadecimal 11D0E, octal 216416).
What is the square root of 72974?
About 270.1370.
Is 72974 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 72974?
It is a composite number with 16 divisors.