The number 2972
2972 is a composite number with 6 divisors. Its prime factorisation is × 743. Divisors (6): 1, 2, 4, 743, 1486, 2972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2972 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 2972 itself that is 2236, so 2972 is deficient (2236 is less than 2972). Euler's totient φ(2972) = 1484 numbers up to 2972 share no factor with it.
- 4
The digits of 2972 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2972 = 2^{2} \times 743 \]2972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 1484 |
| Square | 8832784 |
| Cube | 26251034048 |
| Square root | 54.516053 (= 2√743) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.972 × |
2972 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and seventy-two |
| Roman numerals | MMCMLXXII |
| Binary (base 2) | 101110011100 |
| Octal (base 8) | 5634 |
| Hexadecimal (base 16) | B9C |
| Base 3 | 11002002 |
| As time | 2972 seconds = 49 min 32 s |
Is 2972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2972 ÷ 2 = 1486) | 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 | Yes (2972 ÷ 4 = 743) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2972 a prime number?
No. 2972 = × 743, so it is divisible by 2.
What are the factors of 2972?
1, 2, 4, 743, 1486, 2972.
What is 2972 in binary?
101110011100 (hexadecimal B9C, octal 5634).
What is the square root of 2972?
About 54.5161, exactly 2√743.
What is 2972 in Roman numerals?
MMCMLXXII.
Is 2972 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2972?
It is a composite number with 6 divisors.