The number 77001
77001 is a composite number with 4 divisors. Its prime factorisation is 3 × 25667. Divisors (4): 1, 3, 25667, 77001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77001: a semiprime: 3 × 25667, the product of two primes.
- 2
77001 is composite. Its prime factorisation is
- 3
The divisors add up to 102672; without 77001 itself that is 25671, so 77001 is deficient (25671 is less than 77001). Euler's totient φ(77001) = 51332 numbers up to 77001 share no factor with it.
- 4
The digits of 77001 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77001 = 3 \times 25667 \]
77001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 102672 |
| Euler totient φ(n) | 51332 |
| Square | 5929154001 |
| Cube | 456550787231001 |
| Square root | 277.490540 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7001 × |
77001 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and one |
| Binary (base 2) | 10010110011001001 |
| Octal (base 8) | 226311 |
| Hexadecimal (base 16) | 12CC9 |
| Base 3 | 10220121220 |
| As time | 77001 seconds = 21 h 23 min 21 s |
Is 77001 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 | Yes (77001 ÷ 3 = 25667) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77001 a prime number?
No. 77001 = 3 × 25667, so it is divisible by 3.
What are the factors of 77001?
1, 3, 25667, 77001.
What is 77001 in binary?
10010110011001001 (hexadecimal 12CC9, octal 226311).
What is the square root of 77001?
About 277.4905.
Is 77001 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 77001?
77001 is a semiprime: 3 × 25667, the product of two primes.