The number 1010
1010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 101. Divisors (8): 1, 2, 5, 10, 101, 202, 505, 1010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1010: a Harshad number: divisible by its digit sum 2.
- 2
1010 is composite. Its prime factorisation is
- 3
The divisors add up to 1836; without 1010 itself that is 826, so 1010 is deficient (826 is less than 1010). Euler's totient φ(1010) = 400 numbers up to 1010 share no factor with it.
- 4
The digits of 1010 add up to 2, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1010 = 2 \times 5 \times 101 \]
1010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1836 |
| Euler totient φ(n) | 400 |
| Square | 1020100 |
| Cube | 1030301000 |
| Square root | 31.780497 |
| Digit sum / digital root | 2 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.01 × |
1010 in other forms
| Form | Value |
|---|---|
| In words | one thousand and ten |
| Roman numerals | MX |
| Binary (base 2) | 1111110010 |
| Octal (base 8) | 1762 |
| Hexadecimal (base 16) | 3F2 |
| Base 3 | 1101102 |
| As time | 1010 seconds = 16 min 50 s |
Is 1010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1010 ÷ 2 = 505) | 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 (1010 ÷ 5 = 202) | 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 2) | 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 (1010 ÷ 10 = 101) | 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 1010 a prime number?
No. 1010 = 2 × 5 × 101, so it is divisible by 2.
What are the factors of 1010?
1, 2, 5, 10, 101, 202, 505, 1010.
What is 1010 in binary?
1111110010 (hexadecimal 3F2, octal 1762).
What is the square root of 1010?
About 31.7805.
What is 1010 in Roman numerals?
MX.
Is 1010 divisible by 3?
No. Its digits add up to 2, which is not a multiple of 3.
What is special about the number 1010?
1010 is a Harshad number: divisible by its digit sum 2.