The number 76972
76972 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2749. Divisors (12): 1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486, 76972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76972 is composite. Its prime factorisation is
- 3
The divisors add up to 154000; without 76972 itself that is 77028, so 76972 is abundant (77028 is more than 76972). Euler's totient φ(76972) = 32976 numbers up to 76972 share no factor with it.
- 4
The digits of 76972 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76972 = 2^{2} \times 7 \times 2749 \]76972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154000 |
| Euler totient φ(n) | 32976 |
| Square | 5924688784 |
| Cube | 456035145082048 |
| Square root | 277.438281 (= 2√19243) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6972 × |
76972 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and seventy-two |
| Binary (base 2) | 10010110010101100 |
| Octal (base 8) | 226254 |
| Hexadecimal (base 16) | 12CAC |
| Base 3 | 10220120211 |
| As time | 76972 seconds = 21 h 22 min 52 s |
Is 76972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76972 ÷ 2 = 38486) | 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 (76972 ÷ 4 = 19243) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76972 ÷ 7 = 10996) | 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 4) | 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 5) | 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 76972 a prime number?
No. 76972 = × 7 × 2749, so it is divisible by 2.
What are the factors of 76972?
1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486, 76972.
What is 76972 in binary?
10010110010101100 (hexadecimal 12CAC, octal 226254).
What is the square root of 76972?
About 277.4383, exactly 2√19243.
Is 76972 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 76972?
76972 is a happy number: repeatedly adding the squares of its digits reaches 1.