The number 15900
15900 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 53. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75 … 15900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15900: a Harshad number: divisible by its digit sum 15.
- 2
15900 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 15900 itself that is 30972, so 15900 is abundant (30972 is more than 15900). Euler's totient φ(15900) = 4160 numbers up to 15900 share no factor with it.
- 4
The digits of 15900 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15900 = 2^{2} \times 3 \times 5^{2} \times 53 \]15900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 4160 |
| Square | 252810000 |
| Cube | 4019679000000 |
| Square root | 126.095202 (= 10√159) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.59 × |
15900 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand nine hundred |
| Binary (base 2) | 11111000011100 |
| Octal (base 8) | 37034 |
| Hexadecimal (base 16) | 3E1C |
| Base 3 | 210210220 |
| As time | 15900 seconds = 4 h 25 min 0 s |
Is 15900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15900 ÷ 2 = 7950) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15900 ÷ 3 = 5300) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15900 ÷ 4 = 3975) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15900 ÷ 5 = 3180) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15900 ÷ 6 = 2650) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15900 ÷ 10 = 1590) | 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 | Yes (15900 ÷ 12 = 1325) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15900 a prime number?
No. 15900 = × 3 × × 53, so it is divisible by 2.
What are the factors of 15900?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950, 15900.
What is 15900 in binary?
11111000011100 (hexadecimal 3E1C, octal 37034).
What is the square root of 15900?
About 126.0952, exactly 10√159.
Is 15900 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15900?
15900 is a Harshad number: divisible by its digit sum 15.