The number 31136
31136 is a composite number with 24 divisors. Its prime factorisation is × 7 × 139. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 139, 224, 278, 556, 973 … 31136.
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How to work it out
- 1
What is special about 31136: a Harshad number: divisible by its digit sum 14.
- 2
31136 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 31136 itself that is 39424, so 31136 is abundant (39424 is more than 31136). Euler's totient φ(31136) = 13248 numbers up to 31136 share no factor with it.
- 4
The digits of 31136 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31136 = 2^{5} \times 7 \times 139 \]31136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 13248 |
| Square | 969450496 |
| Cube | 30184810643456 |
| Square root | 176.453960 (= 4√1946) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1136 × |
31136 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty-six |
| Binary (base 2) | 111100110100000 |
| Octal (base 8) | 74640 |
| Hexadecimal (base 16) | 79A0 |
| Base 3 | 1120201012 |
| As time | 31136 seconds = 8 h 38 min 56 s |
Is 31136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31136 ÷ 2 = 15568) | 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 (31136 ÷ 4 = 7784) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31136 ÷ 7 = 4448) | 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 (31136 ÷ 8 = 3892) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 31136 a prime number?
No. 31136 = × 7 × 139, so it is divisible by 2.
What are the factors of 31136?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 139, 224, 278, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 15568, 31136.
What is 31136 in binary?
111100110100000 (hexadecimal 79A0, octal 74640).
What is the square root of 31136?
About 176.4540, exactly 4√1946.
Is 31136 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31136?
31136 is a Harshad number: divisible by its digit sum 14.