The number 4900
4900 is a perfect square (70²). Its prime factorisation is × × . Divisors (27): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100 … 4900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4900: a perfect square (70²); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4900 is composite. Its prime factorisation is
- 3
The divisors add up to 12369; without 4900 itself that is 7469, so 4900 is abundant (7469 is more than 4900). Euler's totient φ(4900) = 1680 numbers up to 4900 share no factor with it.
- 4
The digits of 4900 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4900 = 2^{2} \times 5^{2} \times 7^{2} \]4900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 27 |
| Sum of divisors | 12369 |
| Euler totient φ(n) | 1680 |
| Square | 24010000 |
| Cube | 117649000000 |
| Square root | 70 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.9 × |
| Perfect power |
4900 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred |
| Binary (base 2) | 1001100100100 |
| Octal (base 8) | 11444 |
| Hexadecimal (base 16) | 1324 |
| Base 3 | 20201111 |
| As time | 4900 seconds = 1 h 21 min 40 s |
Is 4900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4900 ÷ 2 = 2450) | 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 | Yes (4900 ÷ 4 = 1225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4900 ÷ 5 = 980) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4900 ÷ 7 = 700) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4900 ÷ 10 = 490) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4900 a prime number?
No. 4900 = × × , so it is divisible by 2.
What are the factors of 4900?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900.
What is 4900 in binary?
1001100100100 (hexadecimal 1324, octal 11444).
What is the square root of 4900?
70, because 70 × 70 = 4900.
Is 4900 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4900?
4900 is a perfect square (70²); a happy number: repeatedly adding the squares of its digits reaches 1.