The number 15750
15750 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 7. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42 … 15750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15750: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
15750 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 15750 itself that is 32922, so 15750 is abundant (32922 is more than 15750). Euler's totient φ(15750) = 3600 numbers up to 15750 share no factor with it.
- 4
The digits of 15750 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15750 = 2 \times 3^{2} \times 5^{3} \times 7 \]15750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 3600 |
| Square | 248062500 |
| Cube | 3906984375000 |
| Square root | 125.499004 (= 15√70) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.575 × |
15750 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and fifty |
| Binary (base 2) | 11110110000110 |
| Octal (base 8) | 36606 |
| Hexadecimal (base 16) | 3D86 |
| Base 3 | 210121100 |
| As time | 15750 seconds = 4 h 22 min 30 s |
Is 15750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15750 ÷ 2 = 7875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15750 ÷ 3 = 5250) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15750 ÷ 5 = 3150) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15750 ÷ 6 = 2625) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15750 ÷ 7 = 2250) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15750 ÷ 9 = 1750) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15750 ÷ 10 = 1575) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15750 a prime number?
No. 15750 = 2 × × × 7, so it is divisible by 2.
What are the factors of 15750?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 125, 126, 150, 175, 210, 225, 250, 315, 350, 375, 450, 525, 630, 750, 875, 1050, 1125, 1575, 1750, 2250, 2625, 3150, 5250, 7875, 15750.
What is 15750 in binary?
11110110000110 (hexadecimal 3D86, octal 36606).
What is the square root of 15750?
About 125.4990, exactly 15√70.
Is 15750 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15750?
15750 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.