The number 15402
15402 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 151. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 151, 302, 453, 906, 2567, 5134, 7701, 15402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15402 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 15402 itself that is 17430, so 15402 is abundant (17430 is more than 15402). Euler's totient φ(15402) = 4800 numbers up to 15402 share no factor with it.
- 4
The digits of 15402 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15402 = 2 \times 3 \times 17 \times 151 \]
15402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 4800 |
| Square | 237221604 |
| Cube | 3653687144808 |
| Square root | 124.104794 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5402 × |
15402 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and two |
| Binary (base 2) | 11110000101010 |
| Octal (base 8) | 36052 |
| Hexadecimal (base 16) | 3C2A |
| Base 3 | 210010110 |
| As time | 15402 seconds = 4 h 16 min 42 s |
Is 15402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15402 ÷ 2 = 7701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15402 ÷ 3 = 5134) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15402 ÷ 6 = 2567) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 15402 a prime number?
No. 15402 = 2 × 3 × 17 × 151, so it is divisible by 2.
What are the factors of 15402?
1, 2, 3, 6, 17, 34, 51, 102, 151, 302, 453, 906, 2567, 5134, 7701, 15402.
What is 15402 in binary?
11110000101010 (hexadecimal 3C2A, octal 36052).
What is the square root of 15402?
About 124.1048.
Is 15402 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 15402?
It is a composite number with 16 divisors.