The number 13552
13552 is a composite number with 30 divisors. Its prime factorisation is × 7 × . Divisors (30): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 121 … 13552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13552: a Harshad number: divisible by its digit sum 16.
- 2
13552 is composite. Its prime factorisation is
- 3
The divisors add up to 32984; without 13552 itself that is 19432, so 13552 is abundant (19432 is more than 13552). Euler's totient φ(13552) = 5280 numbers up to 13552 share no factor with it.
- 4
The digits of 13552 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13552 = 2^{4} \times 7 \times 11^{2} \]13552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 32984 |
| Euler totient φ(n) | 5280 |
| Square | 183656704 |
| Cube | 2488915652608 |
| Square root | 116.413058 (= 44√7) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3552 × |
13552 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty-two |
| Binary (base 2) | 11010011110000 |
| Octal (base 8) | 32360 |
| Hexadecimal (base 16) | 34F0 |
| Base 3 | 200120221 |
| As time | 13552 seconds = 3 h 45 min 52 s |
Is 13552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13552 ÷ 2 = 6776) | 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 (13552 ÷ 4 = 3388) | 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 | Yes (13552 ÷ 7 = 1936) | 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 (13552 ÷ 8 = 1694) | 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 | Yes (13552 ÷ 11 = 1232) | 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 13552 a prime number?
No. 13552 = × 7 × , so it is divisible by 2.
What are the factors of 13552?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 121, 154, 176, 242, 308, 484, 616, 847, 968, 1232, 1694, 1936, 3388, 6776, 13552.
What is 13552 in binary?
11010011110000 (hexadecimal 34F0, octal 32360).
What is the square root of 13552?
About 116.4131, exactly 44√7.
Is 13552 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13552?
13552 is a Harshad number: divisible by its digit sum 16.