The number 59972
59972 is a composite number with 24 divisors. Its prime factorisation is × 11 × 29 × 47. Divisors (24): 1, 2, 4, 11, 22, 29, 44, 47, 58, 94, 116, 188, 319, 517, 638, 1034 … 59972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59972 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 59972 itself that is 60988, so 59972 is abundant (60988 is more than 59972). Euler's totient φ(59972) = 25760 numbers up to 59972 share no factor with it.
- 4
The digits of 59972 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59972 = 2^{2} \times 11 \times 29 \times 47 \]59972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 25760 |
| Square | 3596640784 |
| Cube | 215697741098048 |
| Square root | 244.891813 (= 2√14993) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.9972 × |
59972 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and seventy-two |
| Binary (base 2) | 1110101001000100 |
| Octal (base 8) | 165104 |
| Hexadecimal (base 16) | EA44 |
| Base 3 | 10001021012 |
| As time | 59972 seconds = 16 h 39 min 32 s |
Is 59972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59972 ÷ 2 = 29986) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59972 ÷ 4 = 14993) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 (59972 ÷ 11 = 5452) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59972 a prime number?
No. 59972 = × 11 × 29 × 47, so it is divisible by 2.
What are the factors of 59972?
1, 2, 4, 11, 22, 29, 44, 47, 58, 94, 116, 188, 319, 517, 638, 1034, 1276, 1363, 2068, 2726, 5452, 14993, 29986, 59972.
What is 59972 in binary?
1110101001000100 (hexadecimal EA44, octal 165104).
What is the square root of 59972?
About 244.8918, exactly 2√14993.
Is 59972 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59972?
It is a composite number with 24 divisors.