The number 59961
59961 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 23 × 79. Divisors (16): 1, 3, 11, 23, 33, 69, 79, 237, 253, 759, 869, 1817, 2607, 5451, 19987, 59961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59961 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59961 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 59961 itself that is 32199, so 59961 is deficient (32199 is less than 59961). Euler's totient φ(59961) = 34320 numbers up to 59961 share no factor with it.
- 4
The digits of 59961 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59961 = 3 \times 11 \times 23 \times 79 \]
59961 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 34320 |
| Square | 3595321521 |
| Cube | 215579073720681 |
| Square root | 244.869353 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.9961 × |
59961 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and sixty-one |
| Binary (base 2) | 1110101000111001 |
| Octal (base 8) | 165071 |
| Hexadecimal (base 16) | EA39 |
| Base 3 | 10001020210 |
| As time | 59961 seconds = 16 h 39 min 21 s |
Is 59961 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 | Yes (59961 ÷ 3 = 19987) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59961 ÷ 11 = 5451) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59961 a prime number?
No. 59961 = 3 × 11 × 23 × 79, so it is divisible by 3.
What are the factors of 59961?
1, 3, 11, 23, 33, 69, 79, 237, 253, 759, 869, 1817, 2607, 5451, 19987, 59961.
What is 59961 in binary?
1110101000111001 (hexadecimal EA39, octal 165071).
What is the square root of 59961?
About 244.8694.
Is 59961 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 59961?
It is a composite number with 16 divisors.