The number 29464
29464 is a composite number with 16 divisors. Its prime factorisation is × 29 × 127. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 127, 232, 254, 508, 1016, 3683, 7366, 14732, 29464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29464 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 29464 itself that is 28136, so 29464 is deficient (28136 is less than 29464). Euler's totient φ(29464) = 14112 numbers up to 29464 share no factor with it.
- 4
The digits of 29464 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29464 = 2^{3} \times 29 \times 127 \]29464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 14112 |
| Square | 868127296 |
| Cube | 25578502649344 |
| Square root | 171.650808 (= 2√7366) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9464 × |
29464 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and sixty-four |
| Binary (base 2) | 111001100011000 |
| Octal (base 8) | 71430 |
| Hexadecimal (base 16) | 7318 |
| Base 3 | 1111102021 |
| As time | 29464 seconds = 8 h 11 min 4 s |
Is 29464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29464 ÷ 2 = 14732) | 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 | Yes (29464 ÷ 4 = 7366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | 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 | Yes (29464 ÷ 8 = 3683) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29464 a prime number?
No. 29464 = × 29 × 127, so it is divisible by 2.
What are the factors of 29464?
1, 2, 4, 8, 29, 58, 116, 127, 232, 254, 508, 1016, 3683, 7366, 14732, 29464.
What is 29464 in binary?
111001100011000 (hexadecimal 7318, octal 71430).
What is the square root of 29464?
About 171.6508, exactly 2√7366.
Is 29464 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29464?
It is a composite number with 16 divisors.