The number 70125
70125 is a triangular number: 1 + 2 + … + 374 = 70125. Its prime factorisation is 3 × × 11 × 17. Divisors (32): 1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 125, 165, 187, 255 … 70125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70125: a triangular number: 1 + 2 + … + 374 = 70125; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
70125 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 70125 itself that is 64659, so 70125 is deficient (64659 is less than 70125). Euler's totient φ(70125) = 32000 numbers up to 70125 share no factor with it.
- 4
The digits of 70125 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70125 = 3 \times 5^{3} \times 11 \times 17 \]70125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 32000 |
| Square | 4917515625 |
| Cube | 344840783203125 |
| Square root | 264.811254 (= 5√2805) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.0125 × |
70125 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand one hundred and twenty-five |
| Binary (base 2) | 10001000111101101 |
| Octal (base 8) | 210755 |
| Hexadecimal (base 16) | 111ED |
| Base 3 | 10120012020 |
| As time | 70125 seconds = 19 h 28 min 45 s |
Is 70125 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (70125 ÷ 3 = 23375) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (70125 ÷ 5 = 14025) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (70125 ÷ 11 = 6375) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70125 a prime number?
No. 70125 = 3 × × 11 × 17, so it is divisible by 3.
What are the factors of 70125?
1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 125, 165, 187, 255, 275, 375, 425, 561, 825, 935, 1275, 1375, 2125, 2805, 4125, 4675, 6375, 14025, 23375, 70125.
What is 70125 in binary?
10001000111101101 (hexadecimal 111ED, octal 210755).
What is the square root of 70125?
About 264.8113, exactly 5√2805.
Is 70125 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 70125?
70125 is a triangular number: 1 + 2 + … + 374 = 70125; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.