The number 29972
29972 is a composite number with 12 divisors. Its prime factorisation is × 59 × 127. Divisors (12): 1, 2, 4, 59, 118, 127, 236, 254, 508, 7493, 14986, 29972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29972 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 29972 itself that is 23788, so 29972 is deficient (23788 is less than 29972). Euler's totient φ(29972) = 14616 numbers up to 29972 share no factor with it.
- 4
The digits of 29972 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29972 = 2^{2} \times 59 \times 127 \]29972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 14616 |
| Square | 898320784 |
| Cube | 26924470538048 |
| Square root | 173.124233 (= 2√7493) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9972 × |
29972 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-two |
| Binary (base 2) | 111010100010100 |
| Octal (base 8) | 72424 |
| Hexadecimal (base 16) | 7514 |
| Base 3 | 1112010002 |
| As time | 29972 seconds = 8 h 19 min 32 s |
Is 29972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29972 ÷ 2 = 14986) | 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 | Yes (29972 ÷ 4 = 7493) | 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 5) | 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 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29972 a prime number?
No. 29972 = × 59 × 127, so it is divisible by 2.
What are the factors of 29972?
1, 2, 4, 59, 118, 127, 236, 254, 508, 7493, 14986, 29972.
What is 29972 in binary?
111010100010100 (hexadecimal 7514, octal 72424).
What is the square root of 29972?
About 173.1242, exactly 2√7493.
Is 29972 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 29972?
29972 is a happy number: repeatedly adding the squares of its digits reaches 1.