The number 152
152 is a composite number with 8 divisors. Its prime factorisation is × 19. Divisors (8): 1, 2, 4, 8, 19, 38, 76, 152.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 152: a Harshad number: divisible by its digit sum 8.
- 2
152 is composite. Its prime factorisation is
- 3
The divisors add up to 300; without 152 itself that is 148, so 152 is deficient (148 is less than 152). Euler's totient φ(152) = 72 numbers up to 152 share no factor with it.
- 4
The digits of 152 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 152 = 2^{3} \times 19 \]152 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 300 |
| Euler totient φ(n) | 72 |
| Square | 23104 |
| Cube | 3511808 |
| Square root | 12.328828 (= 2√38) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.52 × |
152 in other forms
| Form | Value |
|---|---|
| In words | one hundred and fifty-two |
| Roman numerals | CLII |
| Binary (base 2) | 10011000 |
| Octal (base 8) | 230 |
| Hexadecimal (base 16) | 98 |
| Base 3 | 12122 |
| As time | 152 seconds = 2 min 32 s |
Is 152 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (152 ÷ 2 = 76) | 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 | Yes (152 ÷ 4 = 38) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (152 ÷ 8 = 19) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 152 a prime number?
No. 152 = × 19, so it is divisible by 2.
What are the factors of 152?
1, 2, 4, 8, 19, 38, 76, 152.
What is 152 in binary?
10011000 (hexadecimal 98, octal 230).
What is the square root of 152?
About 12.3288, exactly 2√38.
What is 152 in Roman numerals?
CLII.
Is 152 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 152?
152 is a Harshad number: divisible by its digit sum 8.