The number 61552
61552 is a composite number with 10 divisors. Its prime factorisation is × 3847. Divisors (10): 1, 2, 4, 8, 16, 3847, 7694, 15388, 30776, 61552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61552 is composite. Its prime factorisation is
- 3
The divisors add up to 119288; without 61552 itself that is 57736, so 61552 is deficient (57736 is less than 61552). Euler's totient φ(61552) = 30768 numbers up to 61552 share no factor with it.
- 4
The digits of 61552 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61552 = 2^{4} \times 3847 \]61552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 119288 |
| Euler totient φ(n) | 30768 |
| Square | 3788648704 |
| Cube | 233198905028608 |
| Square root | 248.096755 (= 4√3847) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1552 × |
61552 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand five hundred and fifty-two |
| Binary (base 2) | 1111000001110000 |
| Octal (base 8) | 170160 |
| Hexadecimal (base 16) | F070 |
| Base 3 | 10010102201 |
| As time | 61552 seconds = 17 h 5 min 52 s |
Is 61552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61552 ÷ 2 = 30776) | 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 (61552 ÷ 4 = 15388) | 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 1) | 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 (61552 ÷ 8 = 7694) | 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 7) | 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 61552 a prime number?
No. 61552 = × 3847, so it is divisible by 2.
What are the factors of 61552?
1, 2, 4, 8, 16, 3847, 7694, 15388, 30776, 61552.
What is 61552 in binary?
1111000001110000 (hexadecimal F070, octal 170160).
What is the square root of 61552?
About 248.0968, exactly 4√3847.
Is 61552 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61552?
61552 is a happy number: repeatedly adding the squares of its digits reaches 1.