The number 114
114 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 19. Divisors (8): 1, 2, 3, 6, 19, 38, 57, 114.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 114: a Harshad number: divisible by its digit sum 6.
- 2
114 is composite. Its prime factorisation is
- 3
The divisors add up to 240; without 114 itself that is 126, so 114 is abundant (126 is more than 114). Euler's totient φ(114) = 36 numbers up to 114 share no factor with it.
- 4
The digits of 114 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 114 = 2 \times 3 \times 19 \]
114 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 240 |
| Euler totient φ(n) | 36 |
| Square | 12996 |
| Cube | 1481544 |
| Square root | 10.677078 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 33 |
| Scientific notation | 1.14 × |
114 in other forms
| Form | Value |
|---|---|
| In words | one hundred and fourteen |
| Roman numerals | CXIV |
| Binary (base 2) | 1110010 |
| Octal (base 8) | 162 |
| Hexadecimal (base 16) | 72 |
| Base 3 | 11020 |
| As time | 114 seconds = 1 min 54 s |
Is 114 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (114 ÷ 2 = 57) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (114 ÷ 3 = 38) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (114 ÷ 6 = 19) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 114 a prime number?
No. 114 = 2 × 3 × 19, so it is divisible by 2.
What are the factors of 114?
1, 2, 3, 6, 19, 38, 57, 114.
What is 114 in binary?
1110010 (hexadecimal 72, octal 162).
What is the square root of 114?
About 10.6771.
What is 114 in Roman numerals?
CXIV.
Is 114 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 114?
114 is a Harshad number: divisible by its digit sum 6.