The number 61537
61537 is a composite number with 8 divisors. Its prime factorisation is 7 × 59 × 149. Divisors (8): 1, 7, 59, 149, 413, 1043, 8791, 61537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61537 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61537 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 61537 itself that is 10463, so 61537 is deficient (10463 is less than 61537). Euler's totient φ(61537) = 51504 numbers up to 61537 share no factor with it.
- 4
The digits of 61537 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61537 = 7 \times 59 \times 149 \]
61537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72000 |
| Euler totient φ(n) | 51504 |
| Square | 3786802369 |
| Cube | 233028457381153 |
| Square root | 248.066523 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1537 × |
61537 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand five hundred and thirty-seven |
| Binary (base 2) | 1111000001100001 |
| Octal (base 8) | 170141 |
| Hexadecimal (base 16) | F061 |
| Base 3 | 10010102011 |
| As time | 61537 seconds = 17 h 5 min 37 s |
Is 61537 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61537 ÷ 7 = 8791) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61537 a prime number?
No. 61537 = 7 × 59 × 149, so it is divisible by 7.
What are the factors of 61537?
1, 7, 59, 149, 413, 1043, 8791, 61537.
What is 61537 in binary?
1111000001100001 (hexadecimal F061, octal 170141).
What is the square root of 61537?
About 248.0665.
Is 61537 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61537?
It is a composite number with 8 divisors.