The number 29977
29977 is a composite number with 4 divisors. Its prime factorisation is 31 × 967. Divisors (4): 1, 31, 967, 29977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29977: a semiprime: 31 × 967, the product of two primes.
- 2
29977 is composite. Its prime factorisation is
- 3
The divisors add up to 30976; without 29977 itself that is 999, so 29977 is deficient (999 is less than 29977). Euler's totient φ(29977) = 28980 numbers up to 29977 share no factor with it.
- 4
The digits of 29977 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29977 = 31 \times 967 \]
29977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 30976 |
| Euler totient φ(n) | 28980 |
| Square | 898620529 |
| Cube | 26937947597833 |
| Square root | 173.138673 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9977 × |
29977 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-seven |
| Binary (base 2) | 111010100011001 |
| Octal (base 8) | 72431 |
| Hexadecimal (base 16) | 7519 |
| Base 3 | 1112010021 |
| As time | 29977 seconds = 8 h 19 min 37 s |
Is 29977 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 2) | 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 29977 a prime number?
No. 29977 = 31 × 967, so it is divisible by 31.
What are the factors of 29977?
1, 31, 967, 29977.
What is 29977 in binary?
111010100011001 (hexadecimal 7519, octal 72431).
What is the square root of 29977?
About 173.1387.
Is 29977 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 29977?
29977 is a semiprime: 31 × 967, the product of two primes.