The number 31552
31552 is a composite number with 28 divisors. Its prime factorisation is × 17 × 29. Divisors (28): 1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 64, 68, 116, 136, 232, 272 … 31552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31552: a Harshad number: divisible by its digit sum 16.
- 2
31552 is composite. Its prime factorisation is
- 3
The divisors add up to 68580; without 31552 itself that is 37028, so 31552 is abundant (37028 is more than 31552). Euler's totient φ(31552) = 14336 numbers up to 31552 share no factor with it.
- 4
The digits of 31552 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31552 = 2^{6} \times 17 \times 29 \]31552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 68580 |
| Euler totient φ(n) | 14336 |
| Square | 995528704 |
| Cube | 31410921668608 |
| Square root | 177.628826 (= 8√493) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1552 × |
31552 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand five hundred and fifty-two |
| Binary (base 2) | 111101101000000 |
| Octal (base 8) | 75500 |
| Hexadecimal (base 16) | 7B40 |
| Base 3 | 1121021121 |
| As time | 31552 seconds = 8 h 45 min 52 s |
Is 31552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31552 ÷ 2 = 15776) | 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 | Yes (31552 ÷ 4 = 7888) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (31552 ÷ 8 = 3944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31552 a prime number?
No. 31552 = × 17 × 29, so it is divisible by 2.
What are the factors of 31552?
1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 64, 68, 116, 136, 232, 272, 464, 493, 544, 928, 986, 1088, 1856, 1972, 3944, 7888, 15776, 31552.
What is 31552 in binary?
111101101000000 (hexadecimal 7B40, octal 75500).
What is the square root of 31552?
About 177.6288, exactly 8√493.
Is 31552 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31552?
31552 is a Harshad number: divisible by its digit sum 16.