The number 1153
1153 is a twin prime (1151 and 1153 are both prime) and the 191st prime number. Its only divisors are 1 and 1153.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1153: a twin prime (1151 and 1153 are both prime); the 191st prime number.
- 2
1153 is prime, so its only factors are 1 and 1153. It is the 191st prime; the next prime is 1163 and the one before is 1151.
- 3
The divisors add up to 1154; without 1153 itself that is 1, so 1153 is deficient (1 is less than 1153). Euler's totient φ(1153) = 1152 numbers up to 1153 share no factor with it.
- 4
The digits of 1153 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
1153 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1154 |
| Euler totient φ(n) | 1152 |
| Square | 1329409 |
| Cube | 1532808577 |
| Square root | 33.955854 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 1.153 × |
1153 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and fifty-three |
| Roman numerals | MCLIII |
| Binary (base 2) | 10010000001 |
| Octal (base 8) | 2201 |
| Hexadecimal (base 16) | 481 |
| Base 3 | 1120201 |
| As time | 1153 seconds = 19 min 13 s |
Is 1153 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1153 a prime number?
Yes. 1153 is divisible only by 1 and itself.
What are the factors of 1153?
1, 1153.
What is 1153 in binary?
10010000001 (hexadecimal 481, octal 2201).
What is the square root of 1153?
About 33.9559.
What is 1153 in Roman numerals?
MCLIII.
Is 1153 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1153?
1153 is a twin prime (1151 and 1153 are both prime); the 191st prime number.