The number 77402
77402 is a composite number with 12 divisors. Its prime factorisation is 2 × × 229. Divisors (12): 1, 2, 13, 26, 169, 229, 338, 458, 2977, 5954, 38701, 77402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77402 is composite. Its prime factorisation is
- 3
The divisors add up to 126270; without 77402 itself that is 48868, so 77402 is deficient (48868 is less than 77402). Euler's totient φ(77402) = 35568 numbers up to 77402 share no factor with it.
- 4
The digits of 77402 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77402 = 2 \times 13^{2} \times 229 \]77402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126270 |
| Euler totient φ(n) | 35568 |
| Square | 5991069604 |
| Cube | 463720769488808 |
| Square root | 278.212149 (= 13√458) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7402 × |
77402 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and two |
| Binary (base 2) | 10010111001011010 |
| Octal (base 8) | 227132 |
| Hexadecimal (base 16) | 12E5A |
| Base 3 | 10221011202 |
| As time | 77402 seconds = 21 h 30 min 2 s |
Is 77402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77402 ÷ 2 = 38701) | 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 3) | 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 6) | 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 77402 a prime number?
No. 77402 = 2 × × 229, so it is divisible by 2.
What are the factors of 77402?
1, 2, 13, 26, 169, 229, 338, 458, 2977, 5954, 38701, 77402.
What is 77402 in binary?
10010111001011010 (hexadecimal 12E5A, octal 227132).
What is the square root of 77402?
About 278.2121, exactly 13√458.
Is 77402 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77402?
It is a composite number with 12 divisors.