The number 73972
73972 is a composite number with 6 divisors. Its prime factorisation is × 18493. Divisors (6): 1, 2, 4, 18493, 36986, 73972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73972 is composite. Its prime factorisation is
- 3
The divisors add up to 129458; without 73972 itself that is 55486, so 73972 is deficient (55486 is less than 73972). Euler's totient φ(73972) = 36984 numbers up to 73972 share no factor with it.
- 4
The digits of 73972 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73972 = 2^{2} \times 18493 \]73972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 129458 |
| Euler totient φ(n) | 36984 |
| Square | 5471856784 |
| Cube | 404764190026048 |
| Square root | 271.977940 (= 2√18493) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3972 × |
73972 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and seventy-two |
| Binary (base 2) | 10010000011110100 |
| Octal (base 8) | 220364 |
| Hexadecimal (base 16) | 120F4 |
| Base 3 | 10202110201 |
| As time | 73972 seconds = 20 h 32 min 52 s |
Is 73972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73972 ÷ 2 = 36986) | 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 (73972 ÷ 4 = 18493) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73972 a prime number?
No. 73972 = × 18493, so it is divisible by 2.
What are the factors of 73972?
1, 2, 4, 18493, 36986, 73972.
What is 73972 in binary?
10010000011110100 (hexadecimal 120F4, octal 220364).
What is the square root of 73972?
About 271.9779, exactly 2√18493.
Is 73972 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73972?
73972 is a happy number: repeatedly adding the squares of its digits reaches 1.