The number 73402
73402 is a composite number with 16 divisors. Its prime factorisation is 2 × × 107. Divisors (16): 1, 2, 7, 14, 49, 98, 107, 214, 343, 686, 749, 1498, 5243, 10486, 36701, 73402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73402 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 73402 itself that is 56198, so 73402 is deficient (56198 is less than 73402). Euler's totient φ(73402) = 31164 numbers up to 73402 share no factor with it.
- 4
The digits of 73402 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73402 = 2 \times 7^{3} \times 107 \]73402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 31164 |
| Square | 5387853604 |
| Cube | 395479230240808 |
| Square root | 270.928035 (= 7√1498) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3402 × |
73402 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and two |
| Binary (base 2) | 10001111010111010 |
| Octal (base 8) | 217272 |
| Hexadecimal (base 16) | 11EBA |
| Base 3 | 10201200121 |
| As time | 73402 seconds = 20 h 23 min 22 s |
Is 73402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73402 ÷ 2 = 36701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73402 ÷ 7 = 10486) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73402 a prime number?
No. 73402 = 2 × × 107, so it is divisible by 2.
What are the factors of 73402?
1, 2, 7, 14, 49, 98, 107, 214, 343, 686, 749, 1498, 5243, 10486, 36701, 73402.
What is 73402 in binary?
10001111010111010 (hexadecimal 11EBA, octal 217272).
What is the square root of 73402?
About 270.9280, exactly 7√1498.
Is 73402 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73402?
It is a composite number with 16 divisors.