The number 5402
5402 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 73. Divisors (8): 1, 2, 37, 73, 74, 146, 2701, 5402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5402 is composite. Its prime factorisation is
- 3
The divisors add up to 8436; without 5402 itself that is 3034, so 5402 is deficient (3034 is less than 5402). Euler's totient φ(5402) = 2592 numbers up to 5402 share no factor with it.
- 4
The digits of 5402 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5402 = 2 \times 37 \times 73 \]
5402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8436 |
| Euler totient φ(n) | 2592 |
| Square | 29181604 |
| Cube | 157639024808 |
| Square root | 73.498299 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.402 × |
5402 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and two |
| Binary (base 2) | 1010100011010 |
| Octal (base 8) | 12432 |
| Hexadecimal (base 16) | 151A |
| Base 3 | 21102002 |
| As time | 5402 seconds = 1 h 30 min 2 s |
Is 5402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5402 ÷ 2 = 2701) | 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 | No (remainder 2) | 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 | No (remainder 5) | 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 2) | 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 1) | 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 5402 a prime number?
No. 5402 = 2 × 37 × 73, so it is divisible by 2.
What are the factors of 5402?
1, 2, 37, 73, 74, 146, 2701, 5402.
What is 5402 in binary?
1010100011010 (hexadecimal 151A, octal 12432).
What is the square root of 5402?
About 73.4983.
Is 5402 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5402?
It is a composite number with 8 divisors.