The number 13950
13950 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 31. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 31, 45, 50, 62, 75 … 13950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13950: a Harshad number: divisible by its digit sum 18.
- 2
13950 is composite. Its prime factorisation is
- 3
The divisors add up to 38688; without 13950 itself that is 24738, so 13950 is abundant (24738 is more than 13950). Euler's totient φ(13950) = 3600 numbers up to 13950 share no factor with it.
- 4
The digits of 13950 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13950 = 2 \times 3^{2} \times 5^{2} \times 31 \]13950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 38688 |
| Euler totient φ(n) | 3600 |
| Square | 194602500 |
| Cube | 2714704875000 |
| Square root | 118.110118 (= 15√62) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.395 × |
13950 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and fifty |
| Binary (base 2) | 11011001111110 |
| Octal (base 8) | 33176 |
| Hexadecimal (base 16) | 367E |
| Base 3 | 201010200 |
| As time | 13950 seconds = 3 h 52 min 30 s |
Is 13950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13950 ÷ 2 = 6975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13950 ÷ 3 = 4650) | 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 (13950 ÷ 5 = 2790) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13950 ÷ 6 = 2325) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13950 ÷ 9 = 1550) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13950 ÷ 10 = 1395) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 13950 a prime number?
No. 13950 = 2 × × × 31, so it is divisible by 2.
What are the factors of 13950?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 31, 45, 50, 62, 75, 90, 93, 150, 155, 186, 225, 279, 310, 450, 465, 558, 775, 930, 1395, 1550, 2325, 2790, 4650, 6975, 13950.
What is 13950 in binary?
11011001111110 (hexadecimal 367E, octal 33176).
What is the square root of 13950?
About 118.1101, exactly 15√62.
Is 13950 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13950?
13950 is a Harshad number: divisible by its digit sum 18.