The number 77401
77401 is a composite number with 8 divisors. Its prime factorisation is 17 × 29 × 157. Divisors (8): 1, 17, 29, 157, 493, 2669, 4553, 77401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77401 is composite. Its prime factorisation is
- 3
The divisors add up to 85320; without 77401 itself that is 7919, so 77401 is deficient (7919 is less than 77401). Euler's totient φ(77401) = 69888 numbers up to 77401 share no factor with it.
- 4
The digits of 77401 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77401 = 17 \times 29 \times 157 \]
77401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85320 |
| Euler totient φ(n) | 69888 |
| Square | 5990914801 |
| Cube | 463702796512201 |
| Square root | 278.210352 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.7401 × |
77401 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and one |
| Binary (base 2) | 10010111001011001 |
| Octal (base 8) | 227131 |
| Hexadecimal (base 16) | 12E59 |
| Base 3 | 10221011201 |
| As time | 77401 seconds = 21 h 30 min 1 s |
Is 77401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77401 a prime number?
No. 77401 = 17 × 29 × 157, so it is divisible by 17.
What are the factors of 77401?
1, 17, 29, 157, 493, 2669, 4553, 77401.
What is 77401 in binary?
10010111001011001 (hexadecimal 12E59, octal 227131).
What is the square root of 77401?
About 278.2104.
Is 77401 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77401?
It is a composite number with 8 divisors.