The number 130
130 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 13. Divisors (8): 1, 2, 5, 10, 13, 26, 65, 130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 130: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
130 is composite. Its prime factorisation is
- 3
The divisors add up to 252; without 130 itself that is 122, so 130 is deficient (122 is less than 130). Euler's totient φ(130) = 48 numbers up to 130 share no factor with it.
- 4
The digits of 130 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 130 = 2 \times 5 \times 13 \]
130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 252 |
| Euler totient φ(n) | 48 |
| Square | 16900 |
| Cube | 2197000 |
| Square root | 11.401754 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 28 |
| Scientific notation | 1.3 × |
130 in other forms
| Form | Value |
|---|---|
| In words | one hundred and thirty |
| Roman numerals | CXXX |
| Binary (base 2) | 10000010 |
| Octal (base 8) | 202 |
| Hexadecimal (base 16) | 82 |
| Base 3 | 11211 |
| As time | 130 seconds = 2 min 10 s |
Is 130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (130 ÷ 2 = 65) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (130 ÷ 5 = 26) | 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 | 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 2) | 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 (130 ÷ 10 = 13) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 130 a prime number?
No. 130 = 2 × 5 × 13, so it is divisible by 2.
What are the factors of 130?
1, 2, 5, 10, 13, 26, 65, 130.
What is 130 in binary?
10000010 (hexadecimal 82, octal 202).
What is the square root of 130?
About 11.4018.
What is 130 in Roman numerals?
CXXX.
Is 130 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 130?
130 is a happy number: repeatedly adding the squares of its digits reaches 1.