The number 4970
4970 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 71. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4970 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 4970 itself that is 5398, so 4970 is abundant (5398 is more than 4970). Euler's totient φ(4970) = 1680 numbers up to 4970 share no factor with it.
- 4
The digits of 4970 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4970 = 2 \times 5 \times 7 \times 71 \]
4970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 1680 |
| Square | 24700900 |
| Cube | 122763473000 |
| Square root | 70.498227 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.97 × |
4970 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and seventy |
| Binary (base 2) | 1001101101010 |
| Octal (base 8) | 11552 |
| Hexadecimal (base 16) | 136A |
| Base 3 | 20211002 |
| As time | 4970 seconds = 1 h 22 min 50 s |
Is 4970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4970 ÷ 2 = 2485) | 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 | Yes (4970 ÷ 5 = 994) | 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 | Yes (4970 ÷ 7 = 710) | 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 2) | 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 | Yes (4970 ÷ 10 = 497) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 4970 a prime number?
No. 4970 = 2 × 5 × 7 × 71, so it is divisible by 2.
What are the factors of 4970?
1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970.
What is 4970 in binary?
1001101101010 (hexadecimal 136A, octal 11552).
What is the square root of 4970?
About 70.4982.
Is 4970 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4970?
It is a composite number with 16 divisors.