The number 15470
15470 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 13 × 17. Divisors (32): 1, 2, 5, 7, 10, 13, 14, 17, 26, 34, 35, 65, 70, 85, 91, 119 … 15470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15470: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
15470 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 15470 itself that is 20818, so 15470 is abundant (20818 is more than 15470). Euler's totient φ(15470) = 4608 numbers up to 15470 share no factor with it.
- 4
The digits of 15470 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15470 = 2 \times 5 \times 7 \times 13 \times 17 \]
15470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 4608 |
| Square | 239320900 |
| Cube | 3702294323000 |
| Square root | 124.378455 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.547 × |
15470 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and seventy |
| Binary (base 2) | 11110001101110 |
| Octal (base 8) | 36156 |
| Hexadecimal (base 16) | 3C6E |
| Base 3 | 210012222 |
| As time | 15470 seconds = 4 h 17 min 50 s |
Is 15470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15470 ÷ 2 = 7735) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15470 ÷ 5 = 3094) | 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 | Yes (15470 ÷ 7 = 2210) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15470 ÷ 10 = 1547) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15470 a prime number?
No. 15470 = 2 × 5 × 7 × 13 × 17, so it is divisible by 2.
What are the factors of 15470?
1, 2, 5, 7, 10, 13, 14, 17, 26, 34, 35, 65, 70, 85, 91, 119, 130, 170, 182, 221, 238, 442, 455, 595, 910, 1105, 1190, 1547, 2210, 3094, 7735, 15470.
What is 15470 in binary?
11110001101110 (hexadecimal 3C6E, octal 36156).
What is the square root of 15470?
About 124.3785.
Is 15470 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15470?
15470 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.