The number 7552
7552 is a composite number with 16 divisors. Its prime factorisation is × 59. Divisors (16): 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7552 is composite. Its prime factorisation is
- 3
The divisors add up to 15300; without 7552 itself that is 7748, so 7552 is abundant (7748 is more than 7552). Euler's totient φ(7552) = 3712 numbers up to 7552 share no factor with it.
- 4
The digits of 7552 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7552 = 2^{7} \times 59 \]7552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15300 |
| Euler totient φ(n) | 3712 |
| Square | 57032704 |
| Cube | 430710980608 |
| Square root | 86.902244 (= 8√118) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.552 × |
7552 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and fifty-two |
| Binary (base 2) | 1110110000000 |
| Octal (base 8) | 16600 |
| Hexadecimal (base 16) | 1D80 |
| Base 3 | 101100201 |
| As time | 7552 seconds = 2 h 5 min 52 s |
Is 7552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7552 ÷ 2 = 3776) | 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 (7552 ÷ 4 = 1888) | 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 6) | 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 (7552 ÷ 8 = 944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 7552 a prime number?
No. 7552 = × 59, so it is divisible by 2.
What are the factors of 7552?
1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552.
What is 7552 in binary?
1110110000000 (hexadecimal 1D80, octal 16600).
What is the square root of 7552?
About 86.9022, exactly 8√118.
Is 7552 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7552?
7552 is a happy number: repeatedly adding the squares of its digits reaches 1.