The number 156
156 is a composite number with 12 divisors. Its prime factorisation is × 3 × 13. Divisors (12): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 156: a Harshad number: divisible by its digit sum 12.
- 2
156 is composite. Its prime factorisation is
- 3
The divisors add up to 392; without 156 itself that is 236, so 156 is abundant (236 is more than 156). Euler's totient φ(156) = 48 numbers up to 156 share no factor with it.
- 4
The digits of 156 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 156 = 2^{2} \times 3 \times 13 \]156 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 392 |
| Euler totient φ(n) | 48 |
| Square | 24336 |
| Cube | 3796416 |
| Square root | 12.489996 (= 2√39) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.56 × |
156 in other forms
| Form | Value |
|---|---|
| In words | one hundred and fifty-six |
| Roman numerals | CLVI |
| Binary (base 2) | 10011100 |
| Octal (base 8) | 234 |
| Hexadecimal (base 16) | 9C |
| Base 3 | 12210 |
| As time | 156 seconds = 2 min 36 s |
Is 156 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (156 ÷ 2 = 78) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (156 ÷ 3 = 52) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (156 ÷ 4 = 39) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (156 ÷ 6 = 26) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (156 ÷ 12 = 13) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 156 a prime number?
No. 156 = × 3 × 13, so it is divisible by 2.
What are the factors of 156?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
What is 156 in binary?
10011100 (hexadecimal 9C, octal 234).
What is the square root of 156?
About 12.4900, exactly 2√39.
What is 156 in Roman numerals?
CLVI.
Is 156 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 156?
156 is a Harshad number: divisible by its digit sum 12.