The number 59900
59900 is a composite number with 18 divisors. Its prime factorisation is × × 599. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 599, 1198, 2396, 2995, 5990, 11980, 14975 … 59900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59900 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 59900 itself that is 70300, so 59900 is abundant (70300 is more than 59900). Euler's totient φ(59900) = 23920 numbers up to 59900 share no factor with it.
- 4
The digits of 59900 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59900 = 2^{2} \times 5^{2} \times 599 \]59900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 23920 |
| Square | 3588010000 |
| Cube | 214921799000000 |
| Square root | 244.744765 (= 10√599) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.99 × |
59900 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred |
| Binary (base 2) | 1110100111111100 |
| Octal (base 8) | 164774 |
| Hexadecimal (base 16) | E9FC |
| Base 3 | 10001011112 |
| As time | 59900 seconds = 16 h 38 min 20 s |
Is 59900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59900 ÷ 2 = 29950) | 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 (59900 ÷ 4 = 14975) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59900 ÷ 5 = 11980) | 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 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 | 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 | Yes (59900 ÷ 10 = 5990) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59900 a prime number?
No. 59900 = × × 599, so it is divisible by 2.
What are the factors of 59900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 599, 1198, 2396, 2995, 5990, 11980, 14975, 29950, 59900.
What is 59900 in binary?
1110100111111100 (hexadecimal E9FC, octal 164774).
What is the square root of 59900?
About 244.7448, exactly 10√599.
Is 59900 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59900?
It is a composite number with 18 divisors.